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Finding the Fourth Proportional to 180.70, 271.13 and 77.95

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Solution

The fourth proportional to 180.70, 271.13 and 77.95 is: 116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.70 : 271.13 = 77.95 : x
  2. Step 2: Convert to fraction form
    180.70/271.13 = 77.95/x
  3. Step 3: Cross multiply
    180.70x = 271.13 × 77.95
  4. Step 4: Simplify right side
    180.70x = 21,134.10
  5. Step 5: Solve for x
    x = 21,134.10/180.70
  6. Step 6: Final answer
    x = 116.96

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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.