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Finding the Fourth Proportional to 237.23, 357.26 and 211.77

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Solution

The fourth proportional to 237.23, 357.26 and 211.77 is: 318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.23 : 357.26 = 211.77 : x
  2. Step 2: Convert to fraction form
    237.23/357.26 = 211.77/x
  3. Step 3: Cross multiply
    237.23x = 357.26 × 211.77
  4. Step 4: Simplify right side
    237.23x = 75,655.89
  5. Step 5: Solve for x
    x = 75,655.89/237.23
  6. Step 6: Final answer
    x = 318.92

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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.