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Finding the Fourth Proportional to 382.36, 572.13 and 361.51

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Solution

The fourth proportional to 382.36, 572.13 and 361.51 is: 540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.36 : 572.13 = 361.51 : x
  2. Step 2: Convert to fraction form
    382.36/572.13 = 361.51/x
  3. Step 3: Cross multiply
    382.36x = 572.13 × 361.51
  4. Step 4: Simplify right side
    382.36x = 206,830.72
  5. Step 5: Solve for x
    x = 206,830.72/382.36
  6. Step 6: Final answer
    x = 540.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.