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Finding the Fourth Proportional to 82.78, 114.22 and 47.80

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Solution

The fourth proportional to 82.78, 114.22 and 47.80 is: 65.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.78 : 114.22 = 47.80 : x
  2. Step 2: Convert to fraction form
    82.78/114.22 = 47.80/x
  3. Step 3: Cross multiply
    82.78x = 114.22 × 47.80
  4. Step 4: Simplify right side
    82.78x = 5,459.72
  5. Step 5: Solve for x
    x = 5,459.72/82.78
  6. Step 6: Final answer
    x = 65.95

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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.