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Finding the Fourth Proportional to 393.81, 543.40 and 228

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Solution

The fourth proportional to 393.81, 543.40 and 228 is: 314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.81 : 543.40 = 228 : x
  2. Step 2: Convert to fraction form
    393.81/543.40 = 228/x
  3. Step 3: Cross multiply
    393.81x = 543.40 × 228
  4. Step 4: Simplify right side
    393.81x = 123,895.20
  5. Step 5: Solve for x
    x = 123,895.20/393.81
  6. Step 6: Final answer
    x = 314.61

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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.