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Finding the Fourth Proportional to 82.20, 113.45 and 49.47

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Solution

The fourth proportional to 82.20, 113.45 and 49.47 is: 68.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.20 : 113.45 = 49.47 : x
  2. Step 2: Convert to fraction form
    82.20/113.45 = 49.47/x
  3. Step 3: Cross multiply
    82.20x = 113.45 × 49.47
  4. Step 4: Simplify right side
    82.20x = 5,612.37
  5. Step 5: Solve for x
    x = 5,612.37/82.20
  6. Step 6: Final answer
    x = 68.28

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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.