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Finding the Fourth Proportional to 400.34, 552.49 and 234.74

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Solution

The fourth proportional to 400.34, 552.49 and 234.74 is: 323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.34 : 552.49 = 234.74 : x
  2. Step 2: Convert to fraction form
    400.34/552.49 = 234.74/x
  3. Step 3: Cross multiply
    400.34x = 552.49 × 234.74
  4. Step 4: Simplify right side
    400.34x = 129,688.15
  5. Step 5: Solve for x
    x = 129,688.15/400.34
  6. Step 6: Final answer
    x = 323.95

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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.