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Finding the Fourth Proportional to 261.76, 361.47 and 196.15

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Solution

The fourth proportional to 261.76, 361.47 and 196.15 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.76 : 361.47 = 196.15 : x
  2. Step 2: Convert to fraction form
    261.76/361.47 = 196.15/x
  3. Step 3: Cross multiply
    261.76x = 361.47 × 196.15
  4. Step 4: Simplify right side
    261.76x = 70,902.34
  5. Step 5: Solve for x
    x = 70,902.34/261.76
  6. Step 6: Final answer
    x = 270.87

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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.