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Finding the Fourth Proportional to 82.02, 113.20 and 50.52

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Solution

The fourth proportional to 82.02, 113.20 and 50.52 is: 69.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.02 : 113.20 = 50.52 : x
  2. Step 2: Convert to fraction form
    82.02/113.20 = 50.52/x
  3. Step 3: Cross multiply
    82.02x = 113.20 × 50.52
  4. Step 4: Simplify right side
    82.02x = 5,718.86
  5. Step 5: Solve for x
    x = 5,718.86/82.02
  6. Step 6: Final answer
    x = 69.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.