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Finding the Fourth Proportional to 288.24, 429.92 and 251.92

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Solution

The fourth proportional to 288.24, 429.92 and 251.92 is: 375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.24 : 429.92 = 251.92 : x
  2. Step 2: Convert to fraction form
    288.24/429.92 = 251.92/x
  3. Step 3: Cross multiply
    288.24x = 429.92 × 251.92
  4. Step 4: Simplify right side
    288.24x = 108,305.45
  5. Step 5: Solve for x
    x = 108,305.45/288.24
  6. Step 6: Final answer
    x = 375.75

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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.