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Finding the Fourth Proportional to 117.60, 163.14 and 110.85

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Solution

The fourth proportional to 117.60, 163.14 and 110.85 is: 153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.60 : 163.14 = 110.85 : x
  2. Step 2: Convert to fraction form
    117.60/163.14 = 110.85/x
  3. Step 3: Cross multiply
    117.60x = 163.14 × 110.85
  4. Step 4: Simplify right side
    117.60x = 18,084.07
  5. Step 5: Solve for x
    x = 18,084.07/117.60
  6. Step 6: Final answer
    x = 153.78

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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.