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Finding the Fourth Proportional to 392.48, 541.72 and 237.36

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Solution

The fourth proportional to 392.48, 541.72 and 237.36 is: 327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.48 : 541.72 = 237.36 : x
  2. Step 2: Convert to fraction form
    392.48/541.72 = 237.36/x
  3. Step 3: Cross multiply
    392.48x = 541.72 × 237.36
  4. Step 4: Simplify right side
    392.48x = 128,582.66
  5. Step 5: Solve for x
    x = 128,582.66/392.48
  6. Step 6: Final answer
    x = 327.62

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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.