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Finding the Fourth Proportional to 372.72, 514.56 and 285.12

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Solution

The fourth proportional to 372.72, 514.56 and 285.12 is: 393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.72 : 514.56 = 285.12 : x
  2. Step 2: Convert to fraction form
    372.72/514.56 = 285.12/x
  3. Step 3: Cross multiply
    372.72x = 514.56 × 285.12
  4. Step 4: Simplify right side
    372.72x = 146,711.35
  5. Step 5: Solve for x
    x = 146,711.35/372.72
  6. Step 6: Final answer
    x = 393.62

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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.