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Finding the Fourth Proportional to 402.01, 554.78 and 227.35

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Solution

The fourth proportional to 402.01, 554.78 and 227.35 is: 313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.01 : 554.78 = 227.35 : x
  2. Step 2: Convert to fraction form
    402.01/554.78 = 227.35/x
  3. Step 3: Cross multiply
    402.01x = 554.78 × 227.35
  4. Step 4: Simplify right side
    402.01x = 126,129.23
  5. Step 5: Solve for x
    x = 126,129.23/402.01
  6. Step 6: Final answer
    x = 313.75

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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.