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Finding the Fourth Proportional to 372.72, 514.25 and 232.86

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Solution

The fourth proportional to 372.72, 514.25 and 232.86 is: 321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.72 : 514.25 = 232.86 : x
  2. Step 2: Convert to fraction form
    372.72/514.25 = 232.86/x
  3. Step 3: Cross multiply
    372.72x = 514.25 × 232.86
  4. Step 4: Simplify right side
    372.72x = 119,748.26
  5. Step 5: Solve for x
    x = 119,748.26/372.72
  6. Step 6: Final answer
    x = 321.28

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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.