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Finding the Fourth Proportional to 249.62, 374.47 and 204.14

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Solution

The fourth proportional to 249.62, 374.47 and 204.14 is: 306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.62 : 374.47 = 204.14 : x
  2. Step 2: Convert to fraction form
    249.62/374.47 = 204.14/x
  3. Step 3: Cross multiply
    249.62x = 374.47 × 204.14
  4. Step 4: Simplify right side
    249.62x = 76,444.73
  5. Step 5: Solve for x
    x = 76,444.73/249.62
  6. Step 6: Final answer
    x = 306.25

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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.