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Finding the Fourth Proportional to 261.97, 361.36 and 163.77

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Solution

The fourth proportional to 261.97, 361.36 and 163.77 is: 225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.97 : 361.36 = 163.77 : x
  2. Step 2: Convert to fraction form
    261.97/361.36 = 163.77/x
  3. Step 3: Cross multiply
    261.97x = 361.36 × 163.77
  4. Step 4: Simplify right side
    261.97x = 59,180.81
  5. Step 5: Solve for x
    x = 59,180.81/261.97
  6. Step 6: Final answer
    x = 225.91

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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.