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Finding the Fourth Proportional to 237.29, 357.42 and 211.91

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Solution

The fourth proportional to 237.29, 357.42 and 211.91 is: 319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.29 : 357.42 = 211.91 : x
  2. Step 2: Convert to fraction form
    237.29/357.42 = 211.91/x
  3. Step 3: Cross multiply
    237.29x = 357.42 × 211.91
  4. Step 4: Simplify right side
    237.29x = 75,739.88
  5. Step 5: Solve for x
    x = 75,739.88/237.29
  6. Step 6: Final answer
    x = 319.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.