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Finding the Fourth Proportional to 411.73, 568.05 and 293.73

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Solution

The fourth proportional to 411.73, 568.05 and 293.73 is: 405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.73 : 568.05 = 293.73 : x
  2. Step 2: Convert to fraction form
    411.73/568.05 = 293.73/x
  3. Step 3: Cross multiply
    411.73x = 568.05 × 293.73
  4. Step 4: Simplify right side
    411.73x = 166,853.33
  5. Step 5: Solve for x
    x = 166,853.33/411.73
  6. Step 6: Final answer
    x = 405.25

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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.