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Finding the Fourth Proportional to 249.20, 372.16 and 208.64

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Solution

The fourth proportional to 249.20, 372.16 and 208.64 is: 311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.20 : 372.16 = 208.64 : x
  2. Step 2: Convert to fraction form
    249.20/372.16 = 208.64/x
  3. Step 3: Cross multiply
    249.20x = 372.16 × 208.64
  4. Step 4: Simplify right side
    249.20x = 77,647.46
  5. Step 5: Solve for x
    x = 77,647.46/249.20
  6. Step 6: Final answer
    x = 311.59

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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.