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Finding the Fourth Proportional to 94.40, 130.16 and 76.85

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Solution

The fourth proportional to 94.40, 130.16 and 76.85 is: 105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.40 : 130.16 = 76.85 : x
  2. Step 2: Convert to fraction form
    94.40/130.16 = 76.85/x
  3. Step 3: Cross multiply
    94.40x = 130.16 × 76.85
  4. Step 4: Simplify right side
    94.40x = 10,001.76
  5. Step 5: Solve for x
    x = 10,001.76/94.40
  6. Step 6: Final answer
    x = 105.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.