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Finding the Fourth Proportional to 392.62, 541.83 and 268.54

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Solution

The fourth proportional to 392.62, 541.83 and 268.54 is: 370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.62 : 541.83 = 268.54 : x
  2. Step 2: Convert to fraction form
    392.62/541.83 = 268.54/x
  3. Step 3: Cross multiply
    392.62x = 541.83 × 268.54
  4. Step 4: Simplify right side
    392.62x = 145,503.03
  5. Step 5: Solve for x
    x = 145,503.03/392.62
  6. Step 6: Final answer
    x = 370.60

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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.