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Finding the Fourth Proportional to 400.44, 552.92 and 253.42

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Solution

The fourth proportional to 400.44, 552.92 and 253.42 is: 349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.44 : 552.92 = 253.42 : x
  2. Step 2: Convert to fraction form
    400.44/552.92 = 253.42/x
  3. Step 3: Cross multiply
    400.44x = 552.92 × 253.42
  4. Step 4: Simplify right side
    400.44x = 140,120.99
  5. Step 5: Solve for x
    x = 140,120.99/400.44
  6. Step 6: Final answer
    x = 349.92

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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.