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Finding the Fourth Proportional to 234.43, 323.50 and 147.14

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Solution

The fourth proportional to 234.43, 323.50 and 147.14 is: 203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.43 : 323.50 = 147.14 : x
  2. Step 2: Convert to fraction form
    234.43/323.50 = 147.14/x
  3. Step 3: Cross multiply
    234.43x = 323.50 × 147.14
  4. Step 4: Simplify right side
    234.43x = 47,599.79
  5. Step 5: Solve for x
    x = 47,599.79/234.43
  6. Step 6: Final answer
    x = 203.04

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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.