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Finding the Fourth Proportional to 249.29, 372.04 and 242.81

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Solution

The fourth proportional to 249.29, 372.04 and 242.81 is: 362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.29 : 372.04 = 242.81 : x
  2. Step 2: Convert to fraction form
    249.29/372.04 = 242.81/x
  3. Step 3: Cross multiply
    249.29x = 372.04 × 242.81
  4. Step 4: Simplify right side
    249.29x = 90,333.93
  5. Step 5: Solve for x
    x = 90,333.93/249.29
  6. Step 6: Final answer
    x = 362.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.