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Finding the Fourth Proportional to 171.79, 257.38 and 113.98

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Solution

The fourth proportional to 171.79, 257.38 and 113.98 is: 170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.79 : 257.38 = 113.98 : x
  2. Step 2: Convert to fraction form
    171.79/257.38 = 113.98/x
  3. Step 3: Cross multiply
    171.79x = 257.38 × 113.98
  4. Step 4: Simplify right side
    171.79x = 29,336.17
  5. Step 5: Solve for x
    x = 29,336.17/171.79
  6. Step 6: Final answer
    x = 170.77

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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.