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Finding the Fourth Proportional to 456.98, 685.55 and 132.35

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Solution

The fourth proportional to 456.98, 685.55 and 132.35 is: 198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.98 : 685.55 = 132.35 : x
  2. Step 2: Convert to fraction form
    456.98/685.55 = 132.35/x
  3. Step 3: Cross multiply
    456.98x = 685.55 × 132.35
  4. Step 4: Simplify right side
    456.98x = 90,729.45
  5. Step 5: Solve for x
    x = 90,729.45/456.98
  6. Step 6: Final answer
    x = 198.54

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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.