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Finding the Fourth Proportional to 542.55, 748.79 and 356.19

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Solution

The fourth proportional to 542.55, 748.79 and 356.19 is: 491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.55 : 748.79 = 356.19 : x
  2. Step 2: Convert to fraction form
    542.55/748.79 = 356.19/x
  3. Step 3: Cross multiply
    542.55x = 748.79 × 356.19
  4. Step 4: Simplify right side
    542.55x = 266,711.51
  5. Step 5: Solve for x
    x = 266,711.51/542.55
  6. Step 6: Final answer
    x = 491.59

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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.