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Finding the Fourth Proportional to 244.80, 337.80 and 161.74

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Solution

The fourth proportional to 244.80, 337.80 and 161.74 is: 223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.80 : 337.80 = 161.74 : x
  2. Step 2: Convert to fraction form
    244.80/337.80 = 161.74/x
  3. Step 3: Cross multiply
    244.80x = 337.80 × 161.74
  4. Step 4: Simplify right side
    244.80x = 54,635.77
  5. Step 5: Solve for x
    x = 54,635.77/244.80
  6. Step 6: Final answer
    x = 223.19

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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.