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Finding the Fourth Proportional to 382.24, 569.16 and 361.12

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Solution

The fourth proportional to 382.24, 569.16 and 361.12 is: 537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.24 : 569.16 = 361.12 : x
  2. Step 2: Convert to fraction form
    382.24/569.16 = 361.12/x
  3. Step 3: Cross multiply
    382.24x = 569.16 × 361.12
  4. Step 4: Simplify right side
    382.24x = 205,535.06
  5. Step 5: Solve for x
    x = 205,535.06/382.24
  6. Step 6: Final answer
    x = 537.71

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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.