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Finding the Fourth Proportional to 113.82, 170.37 and 97.43

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Solution

The fourth proportional to 113.82, 170.37 and 97.43 is: 145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.82 : 170.37 = 97.43 : x
  2. Step 2: Convert to fraction form
    113.82/170.37 = 97.43/x
  3. Step 3: Cross multiply
    113.82x = 170.37 × 97.43
  4. Step 4: Simplify right side
    113.82x = 16,598.30
  5. Step 5: Solve for x
    x = 16,598.30/113.82
  6. Step 6: Final answer
    x = 145.83

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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.