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Finding the Fourth Proportional to 237.20, 326.50 and 213.47

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Solution

The fourth proportional to 237.20, 326.50 and 213.47 is: 293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.20 : 326.50 = 213.47 : x
  2. Step 2: Convert to fraction form
    237.20/326.50 = 213.47/x
  3. Step 3: Cross multiply
    237.20x = 326.50 × 213.47
  4. Step 4: Simplify right side
    237.20x = 69,697.01
  5. Step 5: Solve for x
    x = 69,697.01/237.20
  6. Step 6: Final answer
    x = 293.84

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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.