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Finding the Fourth Proportional to 400.32, 552.47 and 252.90

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Solution

The fourth proportional to 400.32, 552.47 and 252.90 is: 349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.32 : 552.47 = 252.90 : x
  2. Step 2: Convert to fraction form
    400.32/552.47 = 252.90/x
  3. Step 3: Cross multiply
    400.32x = 552.47 × 252.90
  4. Step 4: Simplify right side
    400.32x = 139,718.40
  5. Step 5: Solve for x
    x = 139,718.40/400.32
  6. Step 6: Final answer
    x = 349.02

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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.