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Finding the Fourth Proportional to 402.22, 602.16 and 271.72

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Solution

The fourth proportional to 402.22, 602.16 and 271.72 is: 406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.22 : 602.16 = 271.72 : x
  2. Step 2: Convert to fraction form
    402.22/602.16 = 271.72/x
  3. Step 3: Cross multiply
    402.22x = 602.16 × 271.72
  4. Step 4: Simplify right side
    402.22x = 163,618.92
  5. Step 5: Solve for x
    x = 163,618.92/402.22
  6. Step 6: Final answer
    x = 406.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.