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Finding the Fourth Proportional to 249.42, 371.76 and 230.94

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Solution

The fourth proportional to 249.42, 371.76 and 230.94 is: 344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.42 : 371.76 = 230.94 : x
  2. Step 2: Convert to fraction form
    249.42/371.76 = 230.94/x
  3. Step 3: Cross multiply
    249.42x = 371.76 × 230.94
  4. Step 4: Simplify right side
    249.42x = 85,854.25
  5. Step 5: Solve for x
    x = 85,854.25/249.42
  6. Step 6: Final answer
    x = 344.22

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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.