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Finding the Fourth Proportional to 171.72, 257.57 and 145.97

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Solution

The fourth proportional to 171.72, 257.57 and 145.97 is: 218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.72 : 257.57 = 145.97 : x
  2. Step 2: Convert to fraction form
    171.72/257.57 = 145.97/x
  3. Step 3: Cross multiply
    171.72x = 257.57 × 145.97
  4. Step 4: Simplify right side
    171.72x = 37,597.49
  5. Step 5: Solve for x
    x = 37,597.49/171.72
  6. Step 6: Final answer
    x = 218.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.