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Finding the Fourth Proportional to 115.58, 158.46 and 113.54

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Solution

The fourth proportional to 115.58, 158.46 and 113.54 is: 155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.58 : 158.46 = 113.54 : x
  2. Step 2: Convert to fraction form
    115.58/158.46 = 113.54/x
  3. Step 3: Cross multiply
    115.58x = 158.46 × 113.54
  4. Step 4: Simplify right side
    115.58x = 17,990.76
  5. Step 5: Solve for x
    x = 17,990.76/115.58
  6. Step 6: Final answer
    x = 155.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.