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Finding the Fourth Proportional to 249.02, 372.91 and 205.42

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Solution

The fourth proportional to 249.02, 372.91 and 205.42 is: 307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.02 : 372.91 = 205.42 : x
  2. Step 2: Convert to fraction form
    249.02/372.91 = 205.42/x
  3. Step 3: Cross multiply
    249.02x = 372.91 × 205.42
  4. Step 4: Simplify right side
    249.02x = 76,601.82
  5. Step 5: Solve for x
    x = 76,601.82/249.02
  6. Step 6: Final answer
    x = 307.62

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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.