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Finding the Fourth Proportional to 170.76, 256.26 and 109.92

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Solution

The fourth proportional to 170.76, 256.26 and 109.92 is: 164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.76 : 256.26 = 109.92 : x
  2. Step 2: Convert to fraction form
    170.76/256.26 = 109.92/x
  3. Step 3: Cross multiply
    170.76x = 256.26 × 109.92
  4. Step 4: Simplify right side
    170.76x = 28,168.10
  5. Step 5: Solve for x
    x = 28,168.10/170.76
  6. Step 6: Final answer
    x = 164.96

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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.