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Finding the Fourth Proportional to 392.50, 540.48 and 337.11

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Solution

The fourth proportional to 392.50, 540.48 and 337.11 is: 464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.50 : 540.48 = 337.11 : x
  2. Step 2: Convert to fraction form
    392.50/540.48 = 337.11/x
  3. Step 3: Cross multiply
    392.50x = 540.48 × 337.11
  4. Step 4: Simplify right side
    392.50x = 182,201.21
  5. Step 5: Solve for x
    x = 182,201.21/392.50
  6. Step 6: Final answer
    x = 464.21

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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.