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Finding the Fourth Proportional to 418.15, 576.75 and 243.53

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Solution

The fourth proportional to 418.15, 576.75 and 243.53 is: 335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.15 : 576.75 = 243.53 : x
  2. Step 2: Convert to fraction form
    418.15/576.75 = 243.53/x
  3. Step 3: Cross multiply
    418.15x = 576.75 × 243.53
  4. Step 4: Simplify right side
    418.15x = 140,455.93
  5. Step 5: Solve for x
    x = 140,455.93/418.15
  6. Step 6: Final answer
    x = 335.90

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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.