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Finding the Fourth Proportional to 892.05, 1,337.97 and 242.63

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Solution

The fourth proportional to 892.05, 1,337.97 and 242.63 is: 363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.05 : 1,337.97 = 242.63 : x
  2. Step 2: Convert to fraction form
    892.05/1,337.97 = 242.63/x
  3. Step 3: Cross multiply
    892.05x = 1,337.97 × 242.63
  4. Step 4: Simplify right side
    892.05x = 324,631.66
  5. Step 5: Solve for x
    x = 324,631.66/892.05
  6. Step 6: Final answer
    x = 363.92

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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.