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Finding the Fourth Proportional to 237.29, 355.62 and 212.78

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Solution

The fourth proportional to 237.29, 355.62 and 212.78 is: 318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.29 : 355.62 = 212.78 : x
  2. Step 2: Convert to fraction form
    237.29/355.62 = 212.78/x
  3. Step 3: Cross multiply
    237.29x = 355.62 × 212.78
  4. Step 4: Simplify right side
    237.29x = 75,668.82
  5. Step 5: Solve for x
    x = 75,668.82/237.29
  6. Step 6: Final answer
    x = 318.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.