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Finding the Fourth Proportional to 115, 159.37 and 113.20

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Solution

The fourth proportional to 115, 159.37 and 113.20 is: 156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115 : 159.37 = 113.20 : x
  2. Step 2: Convert to fraction form
    115/159.37 = 113.20/x
  3. Step 3: Cross multiply
    115x = 159.37 × 113.20
  4. Step 4: Simplify right side
    115x = 18,040.68
  5. Step 5: Solve for x
    x = 18,040.68/115
  6. Step 6: Final answer
    x = 156.88

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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.