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Finding the Fourth Proportional to 209.85, 314.64 and 149.37

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Solution

The fourth proportional to 209.85, 314.64 and 149.37 is: 223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.85 : 314.64 = 149.37 : x
  2. Step 2: Convert to fraction form
    209.85/314.64 = 149.37/x
  3. Step 3: Cross multiply
    209.85x = 314.64 × 149.37
  4. Step 4: Simplify right side
    209.85x = 46,997.78
  5. Step 5: Solve for x
    x = 46,997.78/209.85
  6. Step 6: Final answer
    x = 223.96

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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.