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Finding the Fourth Proportional to 488.60, 732.97 and 199.97

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Solution

The fourth proportional to 488.60, 732.97 and 199.97 is: 299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.60 : 732.97 = 199.97 : x
  2. Step 2: Convert to fraction form
    488.60/732.97 = 199.97/x
  3. Step 3: Cross multiply
    488.60x = 732.97 × 199.97
  4. Step 4: Simplify right side
    488.60x = 146,570.22
  5. Step 5: Solve for x
    x = 146,570.22/488.60
  6. Step 6: Final answer
    x = 299.98

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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.