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Finding the Fourth Proportional to 393.46, 543.21 and 277.14

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Solution

The fourth proportional to 393.46, 543.21 and 277.14 is: 382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.46 : 543.21 = 277.14 : x
  2. Step 2: Convert to fraction form
    393.46/543.21 = 277.14/x
  3. Step 3: Cross multiply
    393.46x = 543.21 × 277.14
  4. Step 4: Simplify right side
    393.46x = 150,545.22
  5. Step 5: Solve for x
    x = 150,545.22/393.46
  6. Step 6: Final answer
    x = 382.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.