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Finding the Fourth Proportional to 113.29, 157.12 and 107.80

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Solution

The fourth proportional to 113.29, 157.12 and 107.80 is: 149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.29 : 157.12 = 107.80 : x
  2. Step 2: Convert to fraction form
    113.29/157.12 = 107.80/x
  3. Step 3: Cross multiply
    113.29x = 157.12 × 107.80
  4. Step 4: Simplify right side
    113.29x = 16,937.54
  5. Step 5: Solve for x
    x = 16,937.54/113.29
  6. Step 6: Final answer
    x = 149.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.