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Finding the Fourth Proportional to 522.52, 784.08 and 214.25

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Solution

The fourth proportional to 522.52, 784.08 and 214.25 is: 321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.52 : 784.08 = 214.25 : x
  2. Step 2: Convert to fraction form
    522.52/784.08 = 214.25/x
  3. Step 3: Cross multiply
    522.52x = 784.08 × 214.25
  4. Step 4: Simplify right side
    522.52x = 167,985.22
  5. Step 5: Solve for x
    x = 167,985.22/522.52
  6. Step 6: Final answer
    x = 321.49

Related Problems

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Double scale
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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.