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Finding the Fourth Proportional to 163.96, 244.57 and 149.98

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Solution

The fourth proportional to 163.96, 244.57 and 149.98 is: 223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.96 : 244.57 = 149.98 : x
  2. Step 2: Convert to fraction form
    163.96/244.57 = 149.98/x
  3. Step 3: Cross multiply
    163.96x = 244.57 × 149.98
  4. Step 4: Simplify right side
    163.96x = 36,680.61
  5. Step 5: Solve for x
    x = 36,680.61/163.96
  6. Step 6: Final answer
    x = 223.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.