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Finding the Fourth Proportional to 542.39, 749.30 and 356.31

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Solution

The fourth proportional to 542.39, 749.30 and 356.31 is: 492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.39 : 749.30 = 356.31 : x
  2. Step 2: Convert to fraction form
    542.39/749.30 = 356.31/x
  3. Step 3: Cross multiply
    542.39x = 749.30 × 356.31
  4. Step 4: Simplify right side
    542.39x = 266,981.30
  5. Step 5: Solve for x
    x = 266,981.30/542.39
  6. Step 6: Final answer
    x = 492.24

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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.