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Finding the Fourth Proportional to 209.84, 287.76 and 199.76

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Solution

The fourth proportional to 209.84, 287.76 and 199.76 is: 273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 287.76 = 199.76 : x
  2. Step 2: Convert to fraction form
    209.84/287.76 = 199.76/x
  3. Step 3: Cross multiply
    209.84x = 287.76 × 199.76
  4. Step 4: Simplify right side
    209.84x = 57,482.94
  5. Step 5: Solve for x
    x = 57,482.94/209.84
  6. Step 6: Final answer
    x = 273.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.