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Finding the Fourth Proportional to 394.59, 543.36 and 283.87

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Solution

The fourth proportional to 394.59, 543.36 and 283.87 is: 390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.59 : 543.36 = 283.87 : x
  2. Step 2: Convert to fraction form
    394.59/543.36 = 283.87/x
  3. Step 3: Cross multiply
    394.59x = 543.36 × 283.87
  4. Step 4: Simplify right side
    394.59x = 154,243.75
  5. Step 5: Solve for x
    x = 154,243.75/394.59
  6. Step 6: Final answer
    x = 390.90

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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.