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Finding the Fourth Proportional to 386.96, 579.14 and 271.13

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Solution

The fourth proportional to 386.96, 579.14 and 271.13 is: 405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.96 : 579.14 = 271.13 : x
  2. Step 2: Convert to fraction form
    386.96/579.14 = 271.13/x
  3. Step 3: Cross multiply
    386.96x = 579.14 × 271.13
  4. Step 4: Simplify right side
    386.96x = 157,017.98
  5. Step 5: Solve for x
    x = 157,017.98/386.96
  6. Step 6: Final answer
    x = 405.78

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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.