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Finding the Fourth Proportional to 232.32, 320.45 and 149.30

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Solution

The fourth proportional to 232.32, 320.45 and 149.30 is: 205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.32 : 320.45 = 149.30 : x
  2. Step 2: Convert to fraction form
    232.32/320.45 = 149.30/x
  3. Step 3: Cross multiply
    232.32x = 320.45 × 149.30
  4. Step 4: Simplify right side
    232.32x = 47,841.58
  5. Step 5: Solve for x
    x = 47,841.58/232.32
  6. Step 6: Final answer
    x = 205.93

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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.