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Finding the Fourth Proportional to 457.19, 685.91 and 132.59

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Solution

The fourth proportional to 457.19, 685.91 and 132.59 is: 198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.19 : 685.91 = 132.59 : x
  2. Step 2: Convert to fraction form
    457.19/685.91 = 132.59/x
  3. Step 3: Cross multiply
    457.19x = 685.91 × 132.59
  4. Step 4: Simplify right side
    457.19x = 90,944.14
  5. Step 5: Solve for x
    x = 90,944.14/457.19
  6. Step 6: Final answer
    x = 198.92

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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.