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Finding the Fourth Proportional to 392.71, 540.25 and 339.86

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Solution

The fourth proportional to 392.71, 540.25 and 339.86 is: 467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.71 : 540.25 = 339.86 : x
  2. Step 2: Convert to fraction form
    392.71/540.25 = 339.86/x
  3. Step 3: Cross multiply
    392.71x = 540.25 × 339.86
  4. Step 4: Simplify right side
    392.71x = 183,609.37
  5. Step 5: Solve for x
    x = 183,609.37/392.71
  6. Step 6: Final answer
    x = 467.54

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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.