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Finding the Fourth Proportional to 234.62, 323.62 and 147.34

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Solution

The fourth proportional to 234.62, 323.62 and 147.34 is: 203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.62 : 323.62 = 147.34 : x
  2. Step 2: Convert to fraction form
    234.62/323.62 = 147.34/x
  3. Step 3: Cross multiply
    234.62x = 323.62 × 147.34
  4. Step 4: Simplify right side
    234.62x = 47,682.17
  5. Step 5: Solve for x
    x = 47,682.17/234.62
  6. Step 6: Final answer
    x = 203.23

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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.