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Finding the Fourth Proportional to 115.83, 160.95 and 114.56

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Solution

The fourth proportional to 115.83, 160.95 and 114.56 is: 159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.83 : 160.95 = 114.56 : x
  2. Step 2: Convert to fraction form
    115.83/160.95 = 114.56/x
  3. Step 3: Cross multiply
    115.83x = 160.95 × 114.56
  4. Step 4: Simplify right side
    115.83x = 18,439.57
  5. Step 5: Solve for x
    x = 18,439.57/115.83
  6. Step 6: Final answer
    x = 159.20

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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.