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Finding the Fourth Proportional to 242.39, 363.91 and 178.15

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Solution

The fourth proportional to 242.39, 363.91 and 178.15 is: 267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.39 : 363.91 = 178.15 : x
  2. Step 2: Convert to fraction form
    242.39/363.91 = 178.15/x
  3. Step 3: Cross multiply
    242.39x = 363.91 × 178.15
  4. Step 4: Simplify right side
    242.39x = 64,830.57
  5. Step 5: Solve for x
    x = 64,830.57/242.39
  6. Step 6: Final answer
    x = 267.46

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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.