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Finding the Fourth Proportional to 662, 993.16 and 199.77

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Solution

The fourth proportional to 662, 993.16 and 199.77 is: 299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    662 : 993.16 = 199.77 : x
  2. Step 2: Convert to fraction form
    662/993.16 = 199.77/x
  3. Step 3: Cross multiply
    662x = 993.16 × 199.77
  4. Step 4: Simplify right side
    662x = 198,403.57
  5. Step 5: Solve for x
    x = 198,403.57/662
  6. Step 6: Final answer
    x = 299.70

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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.