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Finding the Fourth Proportional to 94.28, 130.20 and 85.16

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Solution

The fourth proportional to 94.28, 130.20 and 85.16 is: 117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.28 : 130.20 = 85.16 : x
  2. Step 2: Convert to fraction form
    94.28/130.20 = 85.16/x
  3. Step 3: Cross multiply
    94.28x = 130.20 × 85.16
  4. Step 4: Simplify right side
    94.28x = 11,087.83
  5. Step 5: Solve for x
    x = 11,087.83/94.28
  6. Step 6: Final answer
    x = 117.61

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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.