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Finding the Fourth Proportional to 392.96, 541.90 and 293.82

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Solution

The fourth proportional to 392.96, 541.90 and 293.82 is: 405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.96 : 541.90 = 293.82 : x
  2. Step 2: Convert to fraction form
    392.96/541.90 = 293.82/x
  3. Step 3: Cross multiply
    392.96x = 541.90 × 293.82
  4. Step 4: Simplify right side
    392.96x = 159,221.06
  5. Step 5: Solve for x
    x = 159,221.06/392.96
  6. Step 6: Final answer
    x = 405.18

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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.