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Finding the Fourth Proportional to 119.10, 163.18 and 115.76

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Solution

The fourth proportional to 119.10, 163.18 and 115.76 is: 158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.10 : 163.18 = 115.76 : x
  2. Step 2: Convert to fraction form
    119.10/163.18 = 115.76/x
  3. Step 3: Cross multiply
    119.10x = 163.18 × 115.76
  4. Step 4: Simplify right side
    119.10x = 18,890.27
  5. Step 5: Solve for x
    x = 18,890.27/119.10
  6. Step 6: Final answer
    x = 158.60

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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.