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Finding the Fourth Proportional to 209.54, 312.78 and 201.84

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Solution

The fourth proportional to 209.54, 312.78 and 201.84 is: 301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.54 : 312.78 = 201.84 : x
  2. Step 2: Convert to fraction form
    209.54/312.78 = 201.84/x
  3. Step 3: Cross multiply
    209.54x = 312.78 × 201.84
  4. Step 4: Simplify right side
    209.54x = 63,131.52
  5. Step 5: Solve for x
    x = 63,131.52/209.54
  6. Step 6: Final answer
    x = 301.29

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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.