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Finding the Fourth Proportional to 95.60, 144.14 and 90.80

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Solution

The fourth proportional to 95.60, 144.14 and 90.80 is: 136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.60 : 144.14 = 90.80 : x
  2. Step 2: Convert to fraction form
    95.60/144.14 = 90.80/x
  3. Step 3: Cross multiply
    95.60x = 144.14 × 90.80
  4. Step 4: Simplify right side
    95.60x = 13,087.91
  5. Step 5: Solve for x
    x = 13,087.91/95.60
  6. Step 6: Final answer
    x = 136.90

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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.