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Finding the Fourth Proportional to 234.27, 323.10 and 151.29

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Solution

The fourth proportional to 234.27, 323.10 and 151.29 is: 208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.27 : 323.10 = 151.29 : x
  2. Step 2: Convert to fraction form
    234.27/323.10 = 151.29/x
  3. Step 3: Cross multiply
    234.27x = 323.10 × 151.29
  4. Step 4: Simplify right side
    234.27x = 48,881.80
  5. Step 5: Solve for x
    x = 48,881.80/234.27
  6. Step 6: Final answer
    x = 208.66

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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.