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Finding the Fourth Proportional to 171.64, 256.39 and 113.38

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Solution

The fourth proportional to 171.64, 256.39 and 113.38 is: 169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.64 : 256.39 = 113.38 : x
  2. Step 2: Convert to fraction form
    171.64/256.39 = 113.38/x
  3. Step 3: Cross multiply
    171.64x = 256.39 × 113.38
  4. Step 4: Simplify right side
    171.64x = 29,068.93
  5. Step 5: Solve for x
    x = 29,068.93/171.64
  6. Step 6: Final answer
    x = 169.36

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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.