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Finding the Fourth Proportional to 170.91, 235.86 and 108.78

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Solution

The fourth proportional to 170.91, 235.86 and 108.78 is: 150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.91 : 235.86 = 108.78 : x
  2. Step 2: Convert to fraction form
    170.91/235.86 = 108.78/x
  3. Step 3: Cross multiply
    170.91x = 235.86 × 108.78
  4. Step 4: Simplify right side
    170.91x = 25,656.85
  5. Step 5: Solve for x
    x = 25,656.85/170.91
  6. Step 6: Final answer
    x = 150.12

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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.