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Finding the Fourth Proportional to 382.84, 578.41 and 378.82

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Solution

The fourth proportional to 382.84, 578.41 and 378.82 is: 572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.84 : 578.41 = 378.82 : x
  2. Step 2: Convert to fraction form
    382.84/578.41 = 378.82/x
  3. Step 3: Cross multiply
    382.84x = 578.41 × 378.82
  4. Step 4: Simplify right side
    382.84x = 219,113.28
  5. Step 5: Solve for x
    x = 219,113.28/382.84
  6. Step 6: Final answer
    x = 572.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.