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Finding the Fourth Proportional to 392.75, 540.68 and 294.33

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Solution

The fourth proportional to 392.75, 540.68 and 294.33 is: 405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.75 : 540.68 = 294.33 : x
  2. Step 2: Convert to fraction form
    392.75/540.68 = 294.33/x
  3. Step 3: Cross multiply
    392.75x = 540.68 × 294.33
  4. Step 4: Simplify right side
    392.75x = 159,138.90
  5. Step 5: Solve for x
    x = 159,138.90/392.75
  6. Step 6: Final answer
    x = 405.19

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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.