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Finding the Fourth Proportional to 542.18, 748.32 and 342.88

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Solution

The fourth proportional to 542.18, 748.32 and 342.88 is: 473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.18 : 748.32 = 342.88 : x
  2. Step 2: Convert to fraction form
    542.18/748.32 = 342.88/x
  3. Step 3: Cross multiply
    542.18x = 748.32 × 342.88
  4. Step 4: Simplify right side
    542.18x = 256,580.81
  5. Step 5: Solve for x
    x = 256,580.81/542.18
  6. Step 6: Final answer
    x = 473.24

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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.