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Finding the Fourth Proportional to 113.08, 170.59 and 107.38

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Solution

The fourth proportional to 113.08, 170.59 and 107.38 is: 161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.08 : 170.59 = 107.38 : x
  2. Step 2: Convert to fraction form
    113.08/170.59 = 107.38/x
  3. Step 3: Cross multiply
    113.08x = 170.59 × 107.38
  4. Step 4: Simplify right side
    113.08x = 18,317.95
  5. Step 5: Solve for x
    x = 18,317.95/113.08
  6. Step 6: Final answer
    x = 161.99

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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.