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Finding the Fourth Proportional to 487.96, 732.21 and 199.60

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Solution

The fourth proportional to 487.96, 732.21 and 199.60 is: 299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.96 : 732.21 = 199.60 : x
  2. Step 2: Convert to fraction form
    487.96/732.21 = 199.60/x
  3. Step 3: Cross multiply
    487.96x = 732.21 × 199.60
  4. Step 4: Simplify right side
    487.96x = 146,149.12
  5. Step 5: Solve for x
    x = 146,149.12/487.96
  6. Step 6: Final answer
    x = 299.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.