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Finding the Fourth Proportional to 418.31, 576.29 and 293.75

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Solution

The fourth proportional to 418.31, 576.29 and 293.75 is: 404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.31 : 576.29 = 293.75 : x
  2. Step 2: Convert to fraction form
    418.31/576.29 = 293.75/x
  3. Step 3: Cross multiply
    418.31x = 576.29 × 293.75
  4. Step 4: Simplify right side
    418.31x = 169,280.84
  5. Step 5: Solve for x
    x = 169,280.84/418.31
  6. Step 6: Final answer
    x = 404.68

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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.