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Finding the Fourth Proportional to 118.46, 163.31 and 97.70

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Solution

The fourth proportional to 118.46, 163.31 and 97.70 is: 134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.46 : 163.31 = 97.70 : x
  2. Step 2: Convert to fraction form
    118.46/163.31 = 97.70/x
  3. Step 3: Cross multiply
    118.46x = 163.31 × 97.70
  4. Step 4: Simplify right side
    118.46x = 15,955.31
  5. Step 5: Solve for x
    x = 15,955.31/118.46
  6. Step 6: Final answer
    x = 134.69

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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.