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Finding the Fourth Proportional to 211.17, 291.74 and 180.42

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Solution

The fourth proportional to 211.17, 291.74 and 180.42 is: 249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.17 : 291.74 = 180.42 : x
  2. Step 2: Convert to fraction form
    211.17/291.74 = 180.42/x
  3. Step 3: Cross multiply
    211.17x = 291.74 × 180.42
  4. Step 4: Simplify right side
    211.17x = 52,635.73
  5. Step 5: Solve for x
    x = 52,635.73/211.17
  6. Step 6: Final answer
    x = 249.26

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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.