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Finding the Fourth Proportional to 261.78, 361.27 and 143.76

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Solution

The fourth proportional to 261.78, 361.27 and 143.76 is: 198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.78 : 361.27 = 143.76 : x
  2. Step 2: Convert to fraction form
    261.78/361.27 = 143.76/x
  3. Step 3: Cross multiply
    261.78x = 361.27 × 143.76
  4. Step 4: Simplify right side
    261.78x = 51,936.18
  5. Step 5: Solve for x
    x = 51,936.18/261.78
  6. Step 6: Final answer
    x = 198.40

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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.