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Finding the Fourth Proportional to 94.46, 130.25 and 82.10

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Solution

The fourth proportional to 94.46, 130.25 and 82.10 is: 113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.46 : 130.25 = 82.10 : x
  2. Step 2: Convert to fraction form
    94.46/130.25 = 82.10/x
  3. Step 3: Cross multiply
    94.46x = 130.25 × 82.10
  4. Step 4: Simplify right side
    94.46x = 10,692.46
  5. Step 5: Solve for x
    x = 10,692.46/94.46
  6. Step 6: Final answer
    x = 113.20

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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.