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Finding the Fourth Proportional to 209.96, 312.86 and 200.66

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Solution

The fourth proportional to 209.96, 312.86 and 200.66 is: 299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.96 : 312.86 = 200.66 : x
  2. Step 2: Convert to fraction form
    209.96/312.86 = 200.66/x
  3. Step 3: Cross multiply
    209.96x = 312.86 × 200.66
  4. Step 4: Simplify right side
    209.96x = 62,778.49
  5. Step 5: Solve for x
    x = 62,778.49/209.96
  6. Step 6: Final answer
    x = 299.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.