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Finding the Fourth Proportional to 663.83, 995.42 and 201.49

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Solution

The fourth proportional to 663.83, 995.42 and 201.49 is: 302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.83 : 995.42 = 201.49 : x
  2. Step 2: Convert to fraction form
    663.83/995.42 = 201.49/x
  3. Step 3: Cross multiply
    663.83x = 995.42 × 201.49
  4. Step 4: Simplify right side
    663.83x = 200,565.19
  5. Step 5: Solve for x
    x = 200,565.19/663.83
  6. Step 6: Final answer
    x = 302.13

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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.