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Finding the Fourth Proportional to 394.38, 543.33 and 283.66

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Solution

The fourth proportional to 394.38, 543.33 and 283.66 is: 390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.38 : 543.33 = 283.66 : x
  2. Step 2: Convert to fraction form
    394.38/543.33 = 283.66/x
  3. Step 3: Cross multiply
    394.38x = 543.33 × 283.66
  4. Step 4: Simplify right side
    394.38x = 154,120.99
  5. Step 5: Solve for x
    x = 154,120.99/394.38
  6. Step 6: Final answer
    x = 390.80

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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.