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Finding the Fourth Proportional to 400.04, 551.96 and 234.24

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Solution

The fourth proportional to 400.04, 551.96 and 234.24 is: 323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.04 : 551.96 = 234.24 : x
  2. Step 2: Convert to fraction form
    400.04/551.96 = 234.24/x
  3. Step 3: Cross multiply
    400.04x = 551.96 × 234.24
  4. Step 4: Simplify right side
    400.04x = 129,293.17
  5. Step 5: Solve for x
    x = 129,293.17/400.04
  6. Step 6: Final answer
    x = 323.20

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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.