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Finding the Fourth Proportional to 170.40, 235.12 and 96.70

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Solution

The fourth proportional to 170.40, 235.12 and 96.70 is: 133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.40 : 235.12 = 96.70 : x
  2. Step 2: Convert to fraction form
    170.40/235.12 = 96.70/x
  3. Step 3: Cross multiply
    170.40x = 235.12 × 96.70
  4. Step 4: Simplify right side
    170.40x = 22,736.10
  5. Step 5: Solve for x
    x = 22,736.10/170.40
  6. Step 6: Final answer
    x = 133.43

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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.