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Finding the Fourth Proportional to 76.76, 114.57 and 67.65

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Solution

The fourth proportional to 76.76, 114.57 and 67.65 is: 100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.76 : 114.57 = 67.65 : x
  2. Step 2: Convert to fraction form
    76.76/114.57 = 67.65/x
  3. Step 3: Cross multiply
    76.76x = 114.57 × 67.65
  4. Step 4: Simplify right side
    76.76x = 7,750.23
  5. Step 5: Solve for x
    x = 7,750.23/76.76
  6. Step 6: Final answer
    x = 100.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.