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Finding the Fourth Proportional to 115.95, 159.53 and 115.41

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Solution

The fourth proportional to 115.95, 159.53 and 115.41 is: 158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.95 : 159.53 = 115.41 : x
  2. Step 2: Convert to fraction form
    115.95/159.53 = 115.41/x
  3. Step 3: Cross multiply
    115.95x = 159.53 × 115.41
  4. Step 4: Simplify right side
    115.95x = 18,410.78
  5. Step 5: Solve for x
    x = 18,410.78/115.95
  6. Step 6: Final answer
    x = 158.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.