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Finding the Fourth Proportional to 232.78, 320.99 and 149.81

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Solution

The fourth proportional to 232.78, 320.99 and 149.81 is: 206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.78 : 320.99 = 149.81 : x
  2. Step 2: Convert to fraction form
    232.78/320.99 = 149.81/x
  3. Step 3: Cross multiply
    232.78x = 320.99 × 149.81
  4. Step 4: Simplify right side
    232.78x = 48,087.57
  5. Step 5: Solve for x
    x = 48,087.57/232.78
  6. Step 6: Final answer
    x = 206.58

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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.