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Finding the Fourth Proportional to 117.25, 176.18 and 76.75

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Solution

The fourth proportional to 117.25, 176.18 and 76.75 is: 115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.25 : 176.18 = 76.75 : x
  2. Step 2: Convert to fraction form
    117.25/176.18 = 76.75/x
  3. Step 3: Cross multiply
    117.25x = 176.18 × 76.75
  4. Step 4: Simplify right side
    117.25x = 13,520.99
  5. Step 5: Solve for x
    x = 13,520.99/117.25
  6. Step 6: Final answer
    x = 115.32

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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.