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Finding the Fourth Proportional to 522.14, 783.23 and 197.46

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Solution

The fourth proportional to 522.14, 783.23 and 197.46 is: 296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.14 : 783.23 = 197.46 : x
  2. Step 2: Convert to fraction form
    522.14/783.23 = 197.46/x
  3. Step 3: Cross multiply
    522.14x = 783.23 × 197.46
  4. Step 4: Simplify right side
    522.14x = 154,655.61
  5. Step 5: Solve for x
    x = 154,655.61/522.14
  6. Step 6: Final answer
    x = 296.20

Related Problems

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Half scale
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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.