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Finding the Fourth Proportional to 261.70, 361.14 and 163.43

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Solution

The fourth proportional to 261.70, 361.14 and 163.43 is: 225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.70 : 361.14 = 163.43 : x
  2. Step 2: Convert to fraction form
    261.70/361.14 = 163.43/x
  3. Step 3: Cross multiply
    261.70x = 361.14 × 163.43
  4. Step 4: Simplify right side
    261.70x = 59,021.11
  5. Step 5: Solve for x
    x = 59,021.11/261.70
  6. Step 6: Final answer
    x = 225.53

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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.