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Finding the Fourth Proportional to 82.23, 113.52 and 78.39

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Solution

The fourth proportional to 82.23, 113.52 and 78.39 is: 108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.23 : 113.52 = 78.39 : x
  2. Step 2: Convert to fraction form
    82.23/113.52 = 78.39/x
  3. Step 3: Cross multiply
    82.23x = 113.52 × 78.39
  4. Step 4: Simplify right side
    82.23x = 8,898.83
  5. Step 5: Solve for x
    x = 8,898.83/82.23
  6. Step 6: Final answer
    x = 108.22

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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.