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Finding the Fourth Proportional to 242.44, 363.67 and 77.90

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Solution

The fourth proportional to 242.44, 363.67 and 77.90 is: 116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.44 : 363.67 = 77.90 : x
  2. Step 2: Convert to fraction form
    242.44/363.67 = 77.90/x
  3. Step 3: Cross multiply
    242.44x = 363.67 × 77.90
  4. Step 4: Simplify right side
    242.44x = 28,329.89
  5. Step 5: Solve for x
    x = 28,329.89/242.44
  6. Step 6: Final answer
    x = 116.85

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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.