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Finding the Fourth Proportional to 288.01, 429.92 and 249.76

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Solution

The fourth proportional to 288.01, 429.92 and 249.76 is: 372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.01 : 429.92 = 249.76 : x
  2. Step 2: Convert to fraction form
    288.01/429.92 = 249.76/x
  3. Step 3: Cross multiply
    288.01x = 429.92 × 249.76
  4. Step 4: Simplify right side
    288.01x = 107,376.82
  5. Step 5: Solve for x
    x = 107,376.82/288.01
  6. Step 6: Final answer
    x = 372.82

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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.