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Finding the Fourth Proportional to 261.89, 361.22 and 163.68

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Solution

The fourth proportional to 261.89, 361.22 and 163.68 is: 225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.89 : 361.22 = 163.68 : x
  2. Step 2: Convert to fraction form
    261.89/361.22 = 163.68/x
  3. Step 3: Cross multiply
    261.89x = 361.22 × 163.68
  4. Step 4: Simplify right side
    261.89x = 59,124.49
  5. Step 5: Solve for x
    x = 59,124.49/261.89
  6. Step 6: Final answer
    x = 225.76

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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.