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Finding the Fourth Proportional to 249.42, 372.54 and 208.86

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Solution

The fourth proportional to 249.42, 372.54 and 208.86 is: 311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.42 : 372.54 = 208.86 : x
  2. Step 2: Convert to fraction form
    249.42/372.54 = 208.86/x
  3. Step 3: Cross multiply
    249.42x = 372.54 × 208.86
  4. Step 4: Simplify right side
    249.42x = 77,808.70
  5. Step 5: Solve for x
    x = 77,808.70/249.42
  6. Step 6: Final answer
    x = 311.96

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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.