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Finding the Fourth Proportional to 534.78, 738.12 and 338.22

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Solution

The fourth proportional to 534.78, 738.12 and 338.22 is: 466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.78 : 738.12 = 338.22 : x
  2. Step 2: Convert to fraction form
    534.78/738.12 = 338.22/x
  3. Step 3: Cross multiply
    534.78x = 738.12 × 338.22
  4. Step 4: Simplify right side
    534.78x = 249,646.95
  5. Step 5: Solve for x
    x = 249,646.95/534.78
  6. Step 6: Final answer
    x = 466.82

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.