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Finding the Fourth Proportional to 261.28, 360.49 and 161.71

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Solution

The fourth proportional to 261.28, 360.49 and 161.71 is: 223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.28 : 360.49 = 161.71 : x
  2. Step 2: Convert to fraction form
    261.28/360.49 = 161.71/x
  3. Step 3: Cross multiply
    261.28x = 360.49 × 161.71
  4. Step 4: Simplify right side
    261.28x = 58,294.84
  5. Step 5: Solve for x
    x = 58,294.84/261.28
  6. Step 6: Final answer
    x = 223.11

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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.