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Finding the Fourth Proportional to 244.41, 366.75 and 82.14

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Solution

The fourth proportional to 244.41, 366.75 and 82.14 is: 123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.41 : 366.75 = 82.14 : x
  2. Step 2: Convert to fraction form
    244.41/366.75 = 82.14/x
  3. Step 3: Cross multiply
    244.41x = 366.75 × 82.14
  4. Step 4: Simplify right side
    244.41x = 30,124.85
  5. Step 5: Solve for x
    x = 30,124.85/244.41
  6. Step 6: Final answer
    x = 123.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.