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Finding the Fourth Proportional to 294.55, 406.49 and 161.78

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Solution

The fourth proportional to 294.55, 406.49 and 161.78 is: 223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.55 : 406.49 = 161.78 : x
  2. Step 2: Convert to fraction form
    294.55/406.49 = 161.78/x
  3. Step 3: Cross multiply
    294.55x = 406.49 × 161.78
  4. Step 4: Simplify right side
    294.55x = 65,761.95
  5. Step 5: Solve for x
    x = 65,761.95/294.55
  6. Step 6: Final answer
    x = 223.26

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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.