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Finding the Fourth Proportional to 200.17, 275.87 and 163.21

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Solution

The fourth proportional to 200.17, 275.87 and 163.21 is: 224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.17 : 275.87 = 163.21 : x
  2. Step 2: Convert to fraction form
    200.17/275.87 = 163.21/x
  3. Step 3: Cross multiply
    200.17x = 275.87 × 163.21
  4. Step 4: Simplify right side
    200.17x = 45,023.93
  5. Step 5: Solve for x
    x = 45,023.93/200.17
  6. Step 6: Final answer
    x = 224.93

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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.