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Finding the Fourth Proportional to 95.95, 144.00 and 77.47

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Solution

The fourth proportional to 95.95, 144.00 and 77.47 is: 116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.95 : 144.00 = 77.47 : x
  2. Step 2: Convert to fraction form
    95.95/144.00 = 77.47/x
  3. Step 3: Cross multiply
    95.95x = 144.00 × 77.47
  4. Step 4: Simplify right side
    95.95x = 11,154.57
  5. Step 5: Solve for x
    x = 11,154.57/95.95
  6. Step 6: Final answer
    x = 116.25

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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.