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Finding the Fourth Proportional to 400.34, 552.61 and 234.60

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Solution

The fourth proportional to 400.34, 552.61 and 234.60 is: 323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.34 : 552.61 = 234.60 : x
  2. Step 2: Convert to fraction form
    400.34/552.61 = 234.60/x
  3. Step 3: Cross multiply
    400.34x = 552.61 × 234.60
  4. Step 4: Simplify right side
    400.34x = 129,641.13
  5. Step 5: Solve for x
    x = 129,641.13/400.34
  6. Step 6: Final answer
    x = 323.83

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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.