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Finding the Fourth Proportional to 261.66, 361.37 and 206.81

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Solution

The fourth proportional to 261.66, 361.37 and 206.81 is: 285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.66 : 361.37 = 206.81 : x
  2. Step 2: Convert to fraction form
    261.66/361.37 = 206.81/x
  3. Step 3: Cross multiply
    261.66x = 361.37 × 206.81
  4. Step 4: Simplify right side
    261.66x = 74,733.64
  5. Step 5: Solve for x
    x = 74,733.64/261.66
  6. Step 6: Final answer
    x = 285.61

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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.