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Finding the Fourth Proportional to 117.60, 163.20 and 115.20

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Solution

The fourth proportional to 117.60, 163.20 and 115.20 is: 159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.60 : 163.20 = 115.20 : x
  2. Step 2: Convert to fraction form
    117.60/163.20 = 115.20/x
  3. Step 3: Cross multiply
    117.60x = 163.20 × 115.20
  4. Step 4: Simplify right side
    117.60x = 18,800.64
  5. Step 5: Solve for x
    x = 18,800.64/117.60
  6. Step 6: Final answer
    x = 159.87

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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.