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Finding the Fourth Proportional to 392.80, 542.05 and 226.99

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Solution

The fourth proportional to 392.80, 542.05 and 226.99 is: 313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.80 : 542.05 = 226.99 : x
  2. Step 2: Convert to fraction form
    392.80/542.05 = 226.99/x
  3. Step 3: Cross multiply
    392.80x = 542.05 × 226.99
  4. Step 4: Simplify right side
    392.80x = 123,039.93
  5. Step 5: Solve for x
    x = 123,039.93/392.80
  6. Step 6: Final answer
    x = 313.24

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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.