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Finding the Fourth Proportional to 237.45, 326.36 and 209.65

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Solution

The fourth proportional to 237.45, 326.36 and 209.65 is: 288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.45 : 326.36 = 209.65 : x
  2. Step 2: Convert to fraction form
    237.45/326.36 = 209.65/x
  3. Step 3: Cross multiply
    237.45x = 326.36 × 209.65
  4. Step 4: Simplify right side
    237.45x = 68,421.37
  5. Step 5: Solve for x
    x = 68,421.37/237.45
  6. Step 6: Final answer
    x = 288.15

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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.