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Finding the Fourth Proportional to 104.52, 157.48 and 87.80

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Solution

The fourth proportional to 104.52, 157.48 and 87.80 is: 132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.52 : 157.48 = 87.80 : x
  2. Step 2: Convert to fraction form
    104.52/157.48 = 87.80/x
  3. Step 3: Cross multiply
    104.52x = 157.48 × 87.80
  4. Step 4: Simplify right side
    104.52x = 13,826.74
  5. Step 5: Solve for x
    x = 13,826.74/104.52
  6. Step 6: Final answer
    x = 132.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.