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Finding the Fourth Proportional to 171.61, 256.89 and 110.65

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Solution

The fourth proportional to 171.61, 256.89 and 110.65 is: 165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.61 : 256.89 = 110.65 : x
  2. Step 2: Convert to fraction form
    171.61/256.89 = 110.65/x
  3. Step 3: Cross multiply
    171.61x = 256.89 × 110.65
  4. Step 4: Simplify right side
    171.61x = 28,424.88
  5. Step 5: Solve for x
    x = 28,424.88/171.61
  6. Step 6: Final answer
    x = 165.64

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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.