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Finding the Fourth Proportional to 249.68, 371.80 and 242.96

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Solution

The fourth proportional to 249.68, 371.80 and 242.96 is: 361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.68 : 371.80 = 242.96 : x
  2. Step 2: Convert to fraction form
    249.68/371.80 = 242.96/x
  3. Step 3: Cross multiply
    249.68x = 371.80 × 242.96
  4. Step 4: Simplify right side
    249.68x = 90,332.53
  5. Step 5: Solve for x
    x = 90,332.53/249.68
  6. Step 6: Final answer
    x = 361.79

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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.