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Finding the Fourth Proportional to 315.26, 472.81 and 132.55

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Solution

The fourth proportional to 315.26, 472.81 and 132.55 is: 198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.26 : 472.81 = 132.55 : x
  2. Step 2: Convert to fraction form
    315.26/472.81 = 132.55/x
  3. Step 3: Cross multiply
    315.26x = 472.81 × 132.55
  4. Step 4: Simplify right side
    315.26x = 62,670.97
  5. Step 5: Solve for x
    x = 62,670.97/315.26
  6. Step 6: Final answer
    x = 198.79

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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.