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Finding the Fourth Proportional to 427.97, 642.20 and 181.15

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Solution

The fourth proportional to 427.97, 642.20 and 181.15 is: 271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.97 : 642.20 = 181.15 : x
  2. Step 2: Convert to fraction form
    427.97/642.20 = 181.15/x
  3. Step 3: Cross multiply
    427.97x = 642.20 × 181.15
  4. Step 4: Simplify right side
    427.97x = 116,335.63
  5. Step 5: Solve for x
    x = 116,335.63/427.97
  6. Step 6: Final answer
    x = 271.83

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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.