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Finding the Fourth Proportional to 94.45, 130.22 and 76.00

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Solution

The fourth proportional to 94.45, 130.22 and 76.00 is: 104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.45 : 130.22 = 76.00 : x
  2. Step 2: Convert to fraction form
    94.45/130.22 = 76.00/x
  3. Step 3: Cross multiply
    94.45x = 130.22 × 76.00
  4. Step 4: Simplify right side
    94.45x = 9,896.01
  5. Step 5: Solve for x
    x = 9,896.01/94.45
  6. Step 6: Final answer
    x = 104.78

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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.