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Finding the Fourth Proportional to 542.33, 812.73 and 268.62

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Solution

The fourth proportional to 542.33, 812.73 and 268.62 is: 402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.33 : 812.73 = 268.62 : x
  2. Step 2: Convert to fraction form
    542.33/812.73 = 268.62/x
  3. Step 3: Cross multiply
    542.33x = 812.73 × 268.62
  4. Step 4: Simplify right side
    542.33x = 218,315.53
  5. Step 5: Solve for x
    x = 218,315.53/542.33
  6. Step 6: Final answer
    x = 402.55

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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.