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Finding the Fourth Proportional to 115.74, 158.60 and 115.56

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Solution

The fourth proportional to 115.74, 158.60 and 115.56 is: 158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.74 : 158.60 = 115.56 : x
  2. Step 2: Convert to fraction form
    115.74/158.60 = 115.56/x
  3. Step 3: Cross multiply
    115.74x = 158.60 × 115.56
  4. Step 4: Simplify right side
    115.74x = 18,327.24
  5. Step 5: Solve for x
    x = 18,327.24/115.74
  6. Step 6: Final answer
    x = 158.35

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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.