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Finding the Fourth Proportional to 392.53, 541.81 and 235.27

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Solution

The fourth proportional to 392.53, 541.81 and 235.27 is: 324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.53 : 541.81 = 235.27 : x
  2. Step 2: Convert to fraction form
    392.53/541.81 = 235.27/x
  3. Step 3: Cross multiply
    392.53x = 541.81 × 235.27
  4. Step 4: Simplify right side
    392.53x = 127,471.64
  5. Step 5: Solve for x
    x = 127,471.64/392.53
  6. Step 6: Final answer
    x = 324.74

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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.