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Finding the Fourth Proportional to 237.11, 353.78 and 214.12

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Solution

The fourth proportional to 237.11, 353.78 and 214.12 is: 319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.11 : 353.78 = 214.12 : x
  2. Step 2: Convert to fraction form
    237.11/353.78 = 214.12/x
  3. Step 3: Cross multiply
    237.11x = 353.78 × 214.12
  4. Step 4: Simplify right side
    237.11x = 75,751.02
  5. Step 5: Solve for x
    x = 75,751.02/237.11
  6. Step 6: Final answer
    x = 319.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.