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Finding the Fourth Proportional to 418.15, 576.95 and 243.39

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Solution

The fourth proportional to 418.15, 576.95 and 243.39 is: 335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.15 : 576.95 = 243.39 : x
  2. Step 2: Convert to fraction form
    418.15/576.95 = 243.39/x
  3. Step 3: Cross multiply
    418.15x = 576.95 × 243.39
  4. Step 4: Simplify right side
    418.15x = 140,423.86
  5. Step 5: Solve for x
    x = 140,423.86/418.15
  6. Step 6: Final answer
    x = 335.82

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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.