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Finding the Fourth Proportional to 296.96, 445.47 and 132.42

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Solution

The fourth proportional to 296.96, 445.47 and 132.42 is: 198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.96 : 445.47 = 132.42 : x
  2. Step 2: Convert to fraction form
    296.96/445.47 = 132.42/x
  3. Step 3: Cross multiply
    296.96x = 445.47 × 132.42
  4. Step 4: Simplify right side
    296.96x = 58,989.14
  5. Step 5: Solve for x
    x = 58,989.14/296.96
  6. Step 6: Final answer
    x = 198.65

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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.