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Finding the Fourth Proportional to 393.41, 542.78 and 227.57

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Solution

The fourth proportional to 393.41, 542.78 and 227.57 is: 313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.41 : 542.78 = 227.57 : x
  2. Step 2: Convert to fraction form
    393.41/542.78 = 227.57/x
  3. Step 3: Cross multiply
    393.41x = 542.78 × 227.57
  4. Step 4: Simplify right side
    393.41x = 123,520.66
  5. Step 5: Solve for x
    x = 123,520.66/393.41
  6. Step 6: Final answer
    x = 313.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.