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Finding the Fourth Proportional to 97.70, 146.39 and 43.61

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Solution

The fourth proportional to 97.70, 146.39 and 43.61 is: 65.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.70 : 146.39 = 43.61 : x
  2. Step 2: Convert to fraction form
    97.70/146.39 = 43.61/x
  3. Step 3: Cross multiply
    97.70x = 146.39 × 43.61
  4. Step 4: Simplify right side
    97.70x = 6,383.12
  5. Step 5: Solve for x
    x = 6,383.12/97.70
  6. Step 6: Final answer
    x = 65.34

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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.