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Finding the Fourth Proportional to 250.94, 345.39 and 209.03

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Solution

The fourth proportional to 250.94, 345.39 and 209.03 is: 287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.94 : 345.39 = 209.03 : x
  2. Step 2: Convert to fraction form
    250.94/345.39 = 209.03/x
  3. Step 3: Cross multiply
    250.94x = 345.39 × 209.03
  4. Step 4: Simplify right side
    250.94x = 72,196.87
  5. Step 5: Solve for x
    x = 72,196.87/250.94
  6. Step 6: Final answer
    x = 287.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.