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Finding the Fourth Proportional to 261.80, 361.68 and 206.36

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Solution

The fourth proportional to 261.80, 361.68 and 206.36 is: 285.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.80 : 361.68 = 206.36 : x
  2. Step 2: Convert to fraction form
    261.80/361.68 = 206.36/x
  3. Step 3: Cross multiply
    261.80x = 361.68 × 206.36
  4. Step 4: Simplify right side
    261.80x = 74,636.28
  5. Step 5: Solve for x
    x = 74,636.28/261.80
  6. Step 6: Final answer
    x = 285.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.