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Finding the Fourth Proportional to 402.23, 555.11 and 225.23

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Solution

The fourth proportional to 402.23, 555.11 and 225.23 is: 310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.23 : 555.11 = 225.23 : x
  2. Step 2: Convert to fraction form
    402.23/555.11 = 225.23/x
  3. Step 3: Cross multiply
    402.23x = 555.11 × 225.23
  4. Step 4: Simplify right side
    402.23x = 125,027.43
  5. Step 5: Solve for x
    x = 125,027.43/402.23
  6. Step 6: Final answer
    x = 310.84

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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.