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Finding the Fourth Proportional to 244.78, 366.91 and 98.49

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Solution

The fourth proportional to 244.78, 366.91 and 98.49 is: 147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.78 : 366.91 = 98.49 : x
  2. Step 2: Convert to fraction form
    244.78/366.91 = 98.49/x
  3. Step 3: Cross multiply
    244.78x = 366.91 × 98.49
  4. Step 4: Simplify right side
    244.78x = 36,136.97
  5. Step 5: Solve for x
    x = 36,136.97/244.78
  6. Step 6: Final answer
    x = 147.63

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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.