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Finding the Fourth Proportional to 171.51, 257.28 and 61.83

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Solution

The fourth proportional to 171.51, 257.28 and 61.83 is: 92.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.51 : 257.28 = 61.83 : x
  2. Step 2: Convert to fraction form
    171.51/257.28 = 61.83/x
  3. Step 3: Cross multiply
    171.51x = 257.28 × 61.83
  4. Step 4: Simplify right side
    171.51x = 15,906.80
  5. Step 5: Solve for x
    x = 15,906.80/171.51
  6. Step 6: Final answer
    x = 92.75

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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.