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Finding the Fourth Proportional to 170.92, 256.29 and 106.84

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Solution

The fourth proportional to 170.92, 256.29 and 106.84 is: 160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.92 : 256.29 = 106.84 : x
  2. Step 2: Convert to fraction form
    170.92/256.29 = 106.84/x
  3. Step 3: Cross multiply
    170.92x = 256.29 × 106.84
  4. Step 4: Simplify right side
    170.92x = 27,382.02
  5. Step 5: Solve for x
    x = 27,382.02/170.92
  6. Step 6: Final answer
    x = 160.20

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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.