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Finding the Fourth Proportional to 117.39, 175.95 and 76.80

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Solution

The fourth proportional to 117.39, 175.95 and 76.80 is: 115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.39 : 175.95 = 76.80 : x
  2. Step 2: Convert to fraction form
    117.39/175.95 = 76.80/x
  3. Step 3: Cross multiply
    117.39x = 175.95 × 76.80
  4. Step 4: Simplify right side
    117.39x = 13,512.96
  5. Step 5: Solve for x
    x = 13,512.96/117.39
  6. Step 6: Final answer
    x = 115.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.