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Finding the Fourth Proportional to 457.06, 685.57 and 132.43

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Solution

The fourth proportional to 457.06, 685.57 and 132.43 is: 198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.06 : 685.57 = 132.43 : x
  2. Step 2: Convert to fraction form
    457.06/685.57 = 132.43/x
  3. Step 3: Cross multiply
    457.06x = 685.57 × 132.43
  4. Step 4: Simplify right side
    457.06x = 90,790.04
  5. Step 5: Solve for x
    x = 90,790.04/457.06
  6. Step 6: Final answer
    x = 198.64

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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.