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Finding the Fourth Proportional to 420.96, 631.42 and 132.38

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Solution

The fourth proportional to 420.96, 631.42 and 132.38 is: 198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.96 : 631.42 = 132.38 : x
  2. Step 2: Convert to fraction form
    420.96/631.42 = 132.38/x
  3. Step 3: Cross multiply
    420.96x = 631.42 × 132.38
  4. Step 4: Simplify right side
    420.96x = 83,583.89
  5. Step 5: Solve for x
    x = 83,583.89/420.96
  6. Step 6: Final answer
    x = 198.56

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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.