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Finding the Fourth Proportional to 211.52, 291.96 and 149.56

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Solution

The fourth proportional to 211.52, 291.96 and 149.56 is: 206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.52 : 291.96 = 149.56 : x
  2. Step 2: Convert to fraction form
    211.52/291.96 = 149.56/x
  3. Step 3: Cross multiply
    211.52x = 291.96 × 149.56
  4. Step 4: Simplify right side
    211.52x = 43,665.54
  5. Step 5: Solve for x
    x = 43,665.54/211.52
  6. Step 6: Final answer
    x = 206.44

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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.