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Finding the Fourth Proportional to 167.31, 231.00 and 149.77

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Solution

The fourth proportional to 167.31, 231.00 and 149.77 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.31 : 231.00 = 149.77 : x
  2. Step 2: Convert to fraction form
    167.31/231.00 = 149.77/x
  3. Step 3: Cross multiply
    167.31x = 231.00 × 149.77
  4. Step 4: Simplify right side
    167.31x = 34,594.97
  5. Step 5: Solve for x
    x = 34,594.97/167.31
  6. Step 6: Final answer
    x = 206.78

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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.