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Finding the Fourth Proportional to 242.52, 363.78 and 59.91

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Solution

The fourth proportional to 242.52, 363.78 and 59.91 is: 89.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.52 : 363.78 = 59.91 : x
  2. Step 2: Convert to fraction form
    242.52/363.78 = 59.91/x
  3. Step 3: Cross multiply
    242.52x = 363.78 × 59.91
  4. Step 4: Simplify right side
    242.52x = 21,794.06
  5. Step 5: Solve for x
    x = 21,794.06/242.52
  6. Step 6: Final answer
    x = 89.87

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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.