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Finding the Fourth Proportional to 209.84, 314.16 and 137.48

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Solution

The fourth proportional to 209.84, 314.16 and 137.48 is: 205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 314.16 = 137.48 : x
  2. Step 2: Convert to fraction form
    209.84/314.16 = 137.48/x
  3. Step 3: Cross multiply
    209.84x = 314.16 × 137.48
  4. Step 4: Simplify right side
    209.84x = 43,190.72
  5. Step 5: Solve for x
    x = 43,190.72/209.84
  6. Step 6: Final answer
    x = 205.83

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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.