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Finding the Fourth Proportional to 211.17, 291.09 and 164.46

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Solution

The fourth proportional to 211.17, 291.09 and 164.46 is: 226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.17 : 291.09 = 164.46 : x
  2. Step 2: Convert to fraction form
    211.17/291.09 = 164.46/x
  3. Step 3: Cross multiply
    211.17x = 291.09 × 164.46
  4. Step 4: Simplify right side
    211.17x = 47,872.91
  5. Step 5: Solve for x
    x = 47,872.91/211.17
  6. Step 6: Final answer
    x = 226.70

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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.