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Finding the Fourth Proportional to 337.71, 465.60 and 219.49

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Solution

The fourth proportional to 337.71, 465.60 and 219.49 is: 302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.71 : 465.60 = 219.49 : x
  2. Step 2: Convert to fraction form
    337.71/465.60 = 219.49/x
  3. Step 3: Cross multiply
    337.71x = 465.60 × 219.49
  4. Step 4: Simplify right side
    337.71x = 102,194.54
  5. Step 5: Solve for x
    x = 102,194.54/337.71
  6. Step 6: Final answer
    x = 302.61

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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.