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Finding the Fourth Proportional to 242.46, 363.65 and 77.90

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Solution

The fourth proportional to 242.46, 363.65 and 77.90 is: 116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.46 : 363.65 = 77.90 : x
  2. Step 2: Convert to fraction form
    242.46/363.65 = 77.90/x
  3. Step 3: Cross multiply
    242.46x = 363.65 × 77.90
  4. Step 4: Simplify right side
    242.46x = 28,329.50
  5. Step 5: Solve for x
    x = 28,329.50/242.46
  6. Step 6: Final answer
    x = 116.84

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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.