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Finding the Fourth Proportional to 393.16, 542.54 and 227.38

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Solution

The fourth proportional to 393.16, 542.54 and 227.38 is: 313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.16 : 542.54 = 227.38 : x
  2. Step 2: Convert to fraction form
    393.16/542.54 = 227.38/x
  3. Step 3: Cross multiply
    393.16x = 542.54 × 227.38
  4. Step 4: Simplify right side
    393.16x = 123,362.75
  5. Step 5: Solve for x
    x = 123,362.75/393.16
  6. Step 6: Final answer
    x = 313.77

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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.