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Finding the Fourth Proportional to 353.69, 487.98 and 213.85

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Solution

The fourth proportional to 353.69, 487.98 and 213.85 is: 295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.69 : 487.98 = 213.85 : x
  2. Step 2: Convert to fraction form
    353.69/487.98 = 213.85/x
  3. Step 3: Cross multiply
    353.69x = 487.98 × 213.85
  4. Step 4: Simplify right side
    353.69x = 104,353.45
  5. Step 5: Solve for x
    x = 104,353.45/353.69
  6. Step 6: Final answer
    x = 295.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.