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Finding the Fourth Proportional to 170.71, 235.78 and 129.17

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Solution

The fourth proportional to 170.71, 235.78 and 129.17 is: 178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.71 : 235.78 = 129.17 : x
  2. Step 2: Convert to fraction form
    170.71/235.78 = 129.17/x
  3. Step 3: Cross multiply
    170.71x = 235.78 × 129.17
  4. Step 4: Simplify right side
    170.71x = 30,454.79
  5. Step 5: Solve for x
    x = 30,454.79/170.71
  6. Step 6: Final answer
    x = 178.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.