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Finding the Fourth Proportional to 94.30, 130.02 and 76.78

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Solution

The fourth proportional to 94.30, 130.02 and 76.78 is: 105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.30 : 130.02 = 76.78 : x
  2. Step 2: Convert to fraction form
    94.30/130.02 = 76.78/x
  3. Step 3: Cross multiply
    94.30x = 130.02 × 76.78
  4. Step 4: Simplify right side
    94.30x = 9,982.85
  5. Step 5: Solve for x
    x = 9,982.85/94.30
  6. Step 6: Final answer
    x = 105.86

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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.