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Finding the Fourth Proportional to 82.34, 113.52 and 77.99

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Solution

The fourth proportional to 82.34, 113.52 and 77.99 is: 107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.34 : 113.52 = 77.99 : x
  2. Step 2: Convert to fraction form
    82.34/113.52 = 77.99/x
  3. Step 3: Cross multiply
    82.34x = 113.52 × 77.99
  4. Step 4: Simplify right side
    82.34x = 8,852.86
  5. Step 5: Solve for x
    x = 8,852.86/82.34
  6. Step 6: Final answer
    x = 107.52

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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.