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Finding the Fourth Proportional to 353.28, 487.08 and 287.64

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Solution

The fourth proportional to 353.28, 487.08 and 287.64 is: 396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.28 : 487.08 = 287.64 : x
  2. Step 2: Convert to fraction form
    353.28/487.08 = 287.64/x
  3. Step 3: Cross multiply
    353.28x = 487.08 × 287.64
  4. Step 4: Simplify right side
    353.28x = 140,103.69
  5. Step 5: Solve for x
    x = 140,103.69/353.28
  6. Step 6: Final answer
    x = 396.58

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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.