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Finding the Fourth Proportional to 251.67, 347.75 and 209.59

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Solution

The fourth proportional to 251.67, 347.75 and 209.59 is: 289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.67 : 347.75 = 209.59 : x
  2. Step 2: Convert to fraction form
    251.67/347.75 = 209.59/x
  3. Step 3: Cross multiply
    251.67x = 347.75 × 209.59
  4. Step 4: Simplify right side
    251.67x = 72,884.92
  5. Step 5: Solve for x
    x = 72,884.92/251.67
  6. Step 6: Final answer
    x = 289.61

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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.