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Finding the Fourth Proportional to 400.29, 552.11 and 252.87

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Solution

The fourth proportional to 400.29, 552.11 and 252.87 is: 348.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.29 : 552.11 = 252.87 : x
  2. Step 2: Convert to fraction form
    400.29/552.11 = 252.87/x
  3. Step 3: Cross multiply
    400.29x = 552.11 × 252.87
  4. Step 4: Simplify right side
    400.29x = 139,610.79
  5. Step 5: Solve for x
    x = 139,610.79/400.29
  6. Step 6: Final answer
    x = 348.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.