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Finding the Fourth Proportional to 392.87, 541.96 and 261.86

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Solution

The fourth proportional to 392.87, 541.96 and 261.86 is: 361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.87 : 541.96 = 261.86 : x
  2. Step 2: Convert to fraction form
    392.87/541.96 = 261.86/x
  3. Step 3: Cross multiply
    392.87x = 541.96 × 261.86
  4. Step 4: Simplify right side
    392.87x = 141,914.28
  5. Step 5: Solve for x
    x = 141,914.28/392.87
  6. Step 6: Final answer
    x = 361.22

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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.