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Finding the Fourth Proportional to 386.44, 578.20 and 271.11

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Solution

The fourth proportional to 386.44, 578.20 and 271.11 is: 405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.44 : 578.20 = 271.11 : x
  2. Step 2: Convert to fraction form
    386.44/578.20 = 271.11/x
  3. Step 3: Cross multiply
    386.44x = 578.20 × 271.11
  4. Step 4: Simplify right side
    386.44x = 156,755.74
  5. Step 5: Solve for x
    x = 156,755.74/386.44
  6. Step 6: Final answer
    x = 405.64

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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.