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Finding the Fourth Proportional to 397.53, 551.43 and 382.95

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Solution

The fourth proportional to 397.53, 551.43 and 382.95 is: 531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.53 : 551.43 = 382.95 : x
  2. Step 2: Convert to fraction form
    397.53/551.43 = 382.95/x
  3. Step 3: Cross multiply
    397.53x = 551.43 × 382.95
  4. Step 4: Simplify right side
    397.53x = 211,170.12
  5. Step 5: Solve for x
    x = 211,170.12/397.53
  6. Step 6: Final answer
    x = 531.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.