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Finding the Fourth Proportional to 456.98, 685.56 and 132.33

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Solution

The fourth proportional to 456.98, 685.56 and 132.33 is: 198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.98 : 685.56 = 132.33 : x
  2. Step 2: Convert to fraction form
    456.98/685.56 = 132.33/x
  3. Step 3: Cross multiply
    456.98x = 685.56 × 132.33
  4. Step 4: Simplify right side
    456.98x = 90,720.15
  5. Step 5: Solve for x
    x = 90,720.15/456.98
  6. Step 6: Final answer
    x = 198.52

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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.