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Finding the Fourth Proportional to 456.95, 685.53 and 132.35

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Solution

The fourth proportional to 456.95, 685.53 and 132.35 is: 198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.95 : 685.53 = 132.35 : x
  2. Step 2: Convert to fraction form
    456.95/685.53 = 132.35/x
  3. Step 3: Cross multiply
    456.95x = 685.53 × 132.35
  4. Step 4: Simplify right side
    456.95x = 90,726.47
  5. Step 5: Solve for x
    x = 90,726.47/456.95
  6. Step 6: Final answer
    x = 198.55

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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.