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Finding the Fourth Proportional to 249.60, 372.08 and 238.08

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Solution

The fourth proportional to 249.60, 372.08 and 238.08 is: 354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.60 : 372.08 = 238.08 : x
  2. Step 2: Convert to fraction form
    249.60/372.08 = 238.08/x
  3. Step 3: Cross multiply
    249.60x = 372.08 × 238.08
  4. Step 4: Simplify right side
    249.60x = 88,584.81
  5. Step 5: Solve for x
    x = 88,584.81/249.60
  6. Step 6: Final answer
    x = 354.91

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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.