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Finding the Fourth Proportional to 113.38, 170.80 and 107.72

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Solution

The fourth proportional to 113.38, 170.80 and 107.72 is: 162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.38 : 170.80 = 107.72 : x
  2. Step 2: Convert to fraction form
    113.38/170.80 = 107.72/x
  3. Step 3: Cross multiply
    113.38x = 170.80 × 107.72
  4. Step 4: Simplify right side
    113.38x = 18,398.58
  5. Step 5: Solve for x
    x = 18,398.58/113.38
  6. Step 6: Final answer
    x = 162.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.