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Finding the Fourth Proportional to 148.05, 204.31 and 82.56

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Solution

The fourth proportional to 148.05, 204.31 and 82.56 is: 113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.05 : 204.31 = 82.56 : x
  2. Step 2: Convert to fraction form
    148.05/204.31 = 82.56/x
  3. Step 3: Cross multiply
    148.05x = 204.31 × 82.56
  4. Step 4: Simplify right side
    148.05x = 16,867.83
  5. Step 5: Solve for x
    x = 16,867.83/148.05
  6. Step 6: Final answer
    x = 113.93

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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.