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Finding the Fourth Proportional to 250.49, 345.90 and 209.49

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Solution

The fourth proportional to 250.49, 345.90 and 209.49 is: 289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.49 : 345.90 = 209.49 : x
  2. Step 2: Convert to fraction form
    250.49/345.90 = 209.49/x
  3. Step 3: Cross multiply
    250.49x = 345.90 × 209.49
  4. Step 4: Simplify right side
    250.49x = 72,460.31
  5. Step 5: Solve for x
    x = 72,460.31/250.49
  6. Step 6: Final answer
    x = 289.27

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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.