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Finding the Fourth Proportional to 242.07, 363.17 and 221.73

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Solution

The fourth proportional to 242.07, 363.17 and 221.73 is: 332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.07 : 363.17 = 221.73 : x
  2. Step 2: Convert to fraction form
    242.07/363.17 = 221.73/x
  3. Step 3: Cross multiply
    242.07x = 363.17 × 221.73
  4. Step 4: Simplify right side
    242.07x = 80,525.68
  5. Step 5: Solve for x
    x = 80,525.68/242.07
  6. Step 6: Final answer
    x = 332.65

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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.