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Finding the Fourth Proportional to 372.74, 514.42 and 232.90

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Solution

The fourth proportional to 372.74, 514.42 and 232.90 is: 321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.74 : 514.42 = 232.90 : x
  2. Step 2: Convert to fraction form
    372.74/514.42 = 232.90/x
  3. Step 3: Cross multiply
    372.74x = 514.42 × 232.90
  4. Step 4: Simplify right side
    372.74x = 119,808.42
  5. Step 5: Solve for x
    x = 119,808.42/372.74
  6. Step 6: Final answer
    x = 321.43

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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.