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Finding the Fourth Proportional to 400.76, 552.68 and 251.20

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Solution

The fourth proportional to 400.76, 552.68 and 251.20 is: 346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.76 : 552.68 = 251.20 : x
  2. Step 2: Convert to fraction form
    400.76/552.68 = 251.20/x
  3. Step 3: Cross multiply
    400.76x = 552.68 × 251.20
  4. Step 4: Simplify right side
    400.76x = 138,833.22
  5. Step 5: Solve for x
    x = 138,833.22/400.76
  6. Step 6: Final answer
    x = 346.42

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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.