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Finding the Fourth Proportional to 392.72, 591.26 and 271.80

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Solution

The fourth proportional to 392.72, 591.26 and 271.80 is: 409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.72 : 591.26 = 271.80 : x
  2. Step 2: Convert to fraction form
    392.72/591.26 = 271.80/x
  3. Step 3: Cross multiply
    392.72x = 591.26 × 271.80
  4. Step 4: Simplify right side
    392.72x = 160,703.11
  5. Step 5: Solve for x
    x = 160,703.11/392.72
  6. Step 6: Final answer
    x = 409.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.