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Finding the Fourth Proportional to 400.13, 552.23 and 234.34

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Solution

The fourth proportional to 400.13, 552.23 and 234.34 is: 323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.13 : 552.23 = 234.34 : x
  2. Step 2: Convert to fraction form
    400.13/552.23 = 234.34/x
  3. Step 3: Cross multiply
    400.13x = 552.23 × 234.34
  4. Step 4: Simplify right side
    400.13x = 129,408.94
  5. Step 5: Solve for x
    x = 129,408.94/400.13
  6. Step 6: Final answer
    x = 323.42

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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.