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Finding the Fourth Proportional to 401.93, 554.71 and 227.31

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Solution

The fourth proportional to 401.93, 554.71 and 227.31 is: 313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.93 : 554.71 = 227.31 : x
  2. Step 2: Convert to fraction form
    401.93/554.71 = 227.31/x
  3. Step 3: Cross multiply
    401.93x = 554.71 × 227.31
  4. Step 4: Simplify right side
    401.93x = 126,091.13
  5. Step 5: Solve for x
    x = 126,091.13/401.93
  6. Step 6: Final answer
    x = 313.71

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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.