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Finding the Fourth Proportional to 234.57, 323.62 and 151.78

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Solution

The fourth proportional to 234.57, 323.62 and 151.78 is: 209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.57 : 323.62 = 151.78 : x
  2. Step 2: Convert to fraction form
    234.57/323.62 = 151.78/x
  3. Step 3: Cross multiply
    234.57x = 323.62 × 151.78
  4. Step 4: Simplify right side
    234.57x = 49,118.61
  5. Step 5: Solve for x
    x = 49,118.61/234.57
  6. Step 6: Final answer
    x = 209.40

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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.