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Finding the Fourth Proportional to 261.90, 361.29 and 163.68

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Solution

The fourth proportional to 261.90, 361.29 and 163.68 is: 225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.90 : 361.29 = 163.68 : x
  2. Step 2: Convert to fraction form
    261.90/361.29 = 163.68/x
  3. Step 3: Cross multiply
    261.90x = 361.29 × 163.68
  4. Step 4: Simplify right side
    261.90x = 59,135.95
  5. Step 5: Solve for x
    x = 59,135.95/261.90
  6. Step 6: Final answer
    x = 225.80

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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.