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Finding the Fourth Proportional to 82.20, 113.46 and 74.00

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Solution

The fourth proportional to 82.20, 113.46 and 74.00 is: 102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.20 : 113.46 = 74.00 : x
  2. Step 2: Convert to fraction form
    82.20/113.46 = 74.00/x
  3. Step 3: Cross multiply
    82.20x = 113.46 × 74.00
  4. Step 4: Simplify right side
    82.20x = 8,396.32
  5. Step 5: Solve for x
    x = 8,396.32/82.20
  6. Step 6: Final answer
    x = 102.15

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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.