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Finding the Fourth Proportional to 171.52, 255.98 and 149.47

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Solution

The fourth proportional to 171.52, 255.98 and 149.47 is: 223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.52 : 255.98 = 149.47 : x
  2. Step 2: Convert to fraction form
    171.52/255.98 = 149.47/x
  3. Step 3: Cross multiply
    171.52x = 255.98 × 149.47
  4. Step 4: Simplify right side
    171.52x = 38,261.33
  5. Step 5: Solve for x
    x = 38,261.33/171.52
  6. Step 6: Final answer
    x = 223.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.