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Finding the Fourth Proportional to 249.26, 373.96 and 86.96

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Solution

The fourth proportional to 249.26, 373.96 and 86.96 is: 130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.26 : 373.96 = 86.96 : x
  2. Step 2: Convert to fraction form
    249.26/373.96 = 86.96/x
  3. Step 3: Cross multiply
    249.26x = 373.96 × 86.96
  4. Step 4: Simplify right side
    249.26x = 32,519.56
  5. Step 5: Solve for x
    x = 32,519.56/249.26
  6. Step 6: Final answer
    x = 130.46

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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.