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Finding the Fourth Proportional to 457.06, 685.61 and 132.46

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Solution

The fourth proportional to 457.06, 685.61 and 132.46 is: 198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.06 : 685.61 = 132.46 : x
  2. Step 2: Convert to fraction form
    457.06/685.61 = 132.46/x
  3. Step 3: Cross multiply
    457.06x = 685.61 × 132.46
  4. Step 4: Simplify right side
    457.06x = 90,815.90
  5. Step 5: Solve for x
    x = 90,815.90/457.06
  6. Step 6: Final answer
    x = 198.70

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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.