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Finding the Fourth Proportional to 386.28, 533.78 and 292.86

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Solution

The fourth proportional to 386.28, 533.78 and 292.86 is: 404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.28 : 533.78 = 292.86 : x
  2. Step 2: Convert to fraction form
    386.28/533.78 = 292.86/x
  3. Step 3: Cross multiply
    386.28x = 533.78 × 292.86
  4. Step 4: Simplify right side
    386.28x = 156,321.35
  5. Step 5: Solve for x
    x = 156,321.35/386.28
  6. Step 6: Final answer
    x = 404.68

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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.