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Finding the Fourth Proportional to 211.61, 291.24 and 164.78

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Solution

The fourth proportional to 211.61, 291.24 and 164.78 is: 226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.61 : 291.24 = 164.78 : x
  2. Step 2: Convert to fraction form
    211.61/291.24 = 164.78/x
  3. Step 3: Cross multiply
    211.61x = 291.24 × 164.78
  4. Step 4: Simplify right side
    211.61x = 47,990.53
  5. Step 5: Solve for x
    x = 47,990.53/211.61
  6. Step 6: Final answer
    x = 226.79

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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.