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Finding the Fourth Proportional to 261.82, 361.72 and 199.86

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Solution

The fourth proportional to 261.82, 361.72 and 199.86 is: 276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.82 : 361.72 = 199.86 : x
  2. Step 2: Convert to fraction form
    261.82/361.72 = 199.86/x
  3. Step 3: Cross multiply
    261.82x = 361.72 × 199.86
  4. Step 4: Simplify right side
    261.82x = 72,293.36
  5. Step 5: Solve for x
    x = 72,293.36/261.82
  6. Step 6: Final answer
    x = 276.12

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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.