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Finding the Fourth Proportional to 542.85, 814.24 and 234.55

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Solution

The fourth proportional to 542.85, 814.24 and 234.55 is: 351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.85 : 814.24 = 234.55 : x
  2. Step 2: Convert to fraction form
    542.85/814.24 = 234.55/x
  3. Step 3: Cross multiply
    542.85x = 814.24 × 234.55
  4. Step 4: Simplify right side
    542.85x = 190,979.99
  5. Step 5: Solve for x
    x = 190,979.99/542.85
  6. Step 6: Final answer
    x = 351.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.