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Finding the Fourth Proportional to 237.39, 326.27 and 209.59

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Solution

The fourth proportional to 237.39, 326.27 and 209.59 is: 288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.39 : 326.27 = 209.59 : x
  2. Step 2: Convert to fraction form
    237.39/326.27 = 209.59/x
  3. Step 3: Cross multiply
    237.39x = 326.27 × 209.59
  4. Step 4: Simplify right side
    237.39x = 68,384.25
  5. Step 5: Solve for x
    x = 68,384.25/237.39
  6. Step 6: Final answer
    x = 288.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.