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Finding the Fourth Proportional to 94.60, 130.16 and 82.36

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Solution

The fourth proportional to 94.60, 130.16 and 82.36 is: 113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.60 : 130.16 = 82.36 : x
  2. Step 2: Convert to fraction form
    94.60/130.16 = 82.36/x
  3. Step 3: Cross multiply
    94.60x = 130.16 × 82.36
  4. Step 4: Simplify right side
    94.60x = 10,719.98
  5. Step 5: Solve for x
    x = 10,719.98/94.60
  6. Step 6: Final answer
    x = 113.32

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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.