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Finding the Fourth Proportional to 371.94, 556.49 and 209.75

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Solution

The fourth proportional to 371.94, 556.49 and 209.75 is: 313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.94 : 556.49 = 209.75 : x
  2. Step 2: Convert to fraction form
    371.94/556.49 = 209.75/x
  3. Step 3: Cross multiply
    371.94x = 556.49 × 209.75
  4. Step 4: Simplify right side
    371.94x = 116,719.95
  5. Step 5: Solve for x
    x = 116,719.95/371.94
  6. Step 6: Final answer
    x = 313.81

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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.