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Finding the Fourth Proportional to 402.22, 555.08 and 227.58

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Solution

The fourth proportional to 402.22, 555.08 and 227.58 is: 314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.22 : 555.08 = 227.58 : x
  2. Step 2: Convert to fraction form
    402.22/555.08 = 227.58/x
  3. Step 3: Cross multiply
    402.22x = 555.08 × 227.58
  4. Step 4: Simplify right side
    402.22x = 126,325.11
  5. Step 5: Solve for x
    x = 126,325.11/402.22
  6. Step 6: Final answer
    x = 314.07

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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.