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Finding the Fourth Proportional to 170.77, 256.22 and 98.59

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Solution

The fourth proportional to 170.77, 256.22 and 98.59 is: 147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.77 : 256.22 = 98.59 : x
  2. Step 2: Convert to fraction form
    170.77/256.22 = 98.59/x
  3. Step 3: Cross multiply
    170.77x = 256.22 × 98.59
  4. Step 4: Simplify right side
    170.77x = 25,258.96
  5. Step 5: Solve for x
    x = 25,258.96/170.77
  6. Step 6: Final answer
    x = 147.92

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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.