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Finding the Fourth Proportional to 522.14, 783.22 and 233.38

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Solution

The fourth proportional to 522.14, 783.22 and 233.38 is: 350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.14 : 783.22 = 233.38 : x
  2. Step 2: Convert to fraction form
    522.14/783.22 = 233.38/x
  3. Step 3: Cross multiply
    522.14x = 783.22 × 233.38
  4. Step 4: Simplify right side
    522.14x = 182,787.88
  5. Step 5: Solve for x
    x = 182,787.88/522.14
  6. Step 6: Final answer
    x = 350.07

Related Problems

Find fourth proportional to 261.07, 391.61 and 116.69
Half scale
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Double scale
Find fourth proportional to 523.14, 784.72 and 234.38
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.