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Finding the Fourth Proportional to 380.57, 566.84 and 361.06

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Solution

The fourth proportional to 380.57, 566.84 and 361.06 is: 537.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.57 : 566.84 = 361.06 : x
  2. Step 2: Convert to fraction form
    380.57/566.84 = 361.06/x
  3. Step 3: Cross multiply
    380.57x = 566.84 × 361.06
  4. Step 4: Simplify right side
    380.57x = 204,662.74
  5. Step 5: Solve for x
    x = 204,662.74/380.57
  6. Step 6: Final answer
    x = 537.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.