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Finding the Fourth Proportional to 286.56, 398.24 and 283.60

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Solution

The fourth proportional to 286.56, 398.24 and 283.60 is: 394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.56 : 398.24 = 283.60 : x
  2. Step 2: Convert to fraction form
    286.56/398.24 = 283.60/x
  3. Step 3: Cross multiply
    286.56x = 398.24 × 283.60
  4. Step 4: Simplify right side
    286.56x = 112,940.86
  5. Step 5: Solve for x
    x = 112,940.86/286.56
  6. Step 6: Final answer
    x = 394.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.