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Finding the Fourth Proportional to 244.17, 366.22 and 99.78

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Solution

The fourth proportional to 244.17, 366.22 and 99.78 is: 149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.17 : 366.22 = 99.78 : x
  2. Step 2: Convert to fraction form
    244.17/366.22 = 99.78/x
  3. Step 3: Cross multiply
    244.17x = 366.22 × 99.78
  4. Step 4: Simplify right side
    244.17x = 36,541.43
  5. Step 5: Solve for x
    x = 36,541.43/244.17
  6. Step 6: Final answer
    x = 149.66

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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.