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Finding the Fourth Proportional to 76.96, 114.80 and 68.86

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Solution

The fourth proportional to 76.96, 114.80 and 68.86 is: 102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.96 : 114.80 = 68.86 : x
  2. Step 2: Convert to fraction form
    76.96/114.80 = 68.86/x
  3. Step 3: Cross multiply
    76.96x = 114.80 × 68.86
  4. Step 4: Simplify right side
    76.96x = 7,905.13
  5. Step 5: Solve for x
    x = 7,905.13/76.96
  6. Step 6: Final answer
    x = 102.72

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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.