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Finding the Fourth Proportional to 353.67, 487.52 and 287.65

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Solution

The fourth proportional to 353.67, 487.52 and 287.65 is: 396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.67 : 487.52 = 287.65 : x
  2. Step 2: Convert to fraction form
    353.67/487.52 = 287.65/x
  3. Step 3: Cross multiply
    353.67x = 487.52 × 287.65
  4. Step 4: Simplify right side
    353.67x = 140,235.38
  5. Step 5: Solve for x
    x = 140,235.38/353.67
  6. Step 6: Final answer
    x = 396.52

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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.