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Finding the Fourth Proportional to 892.07, 1,338.10 and 242.81

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Solution

The fourth proportional to 892.07, 1,338.10 and 242.81 is: 364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.07 : 1,338.10 = 242.81 : x
  2. Step 2: Convert to fraction form
    892.07/1,338.10 = 242.81/x
  3. Step 3: Cross multiply
    892.07x = 1,338.10 × 242.81
  4. Step 4: Simplify right side
    892.07x = 324,897.67
  5. Step 5: Solve for x
    x = 324,897.67/892.07
  6. Step 6: Final answer
    x = 364.21

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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.