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Finding the Fourth Proportional to 171.59, 258.71 and 144.86

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Solution

The fourth proportional to 171.59, 258.71 and 144.86 is: 218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.59 : 258.71 = 144.86 : x
  2. Step 2: Convert to fraction form
    171.59/258.71 = 144.86/x
  3. Step 3: Cross multiply
    171.59x = 258.71 × 144.86
  4. Step 4: Simplify right side
    171.59x = 37,475.53
  5. Step 5: Solve for x
    x = 37,475.53/171.59
  6. Step 6: Final answer
    x = 218.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.