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Finding the Fourth Proportional to 211.79, 291.28 and 170.27

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Solution

The fourth proportional to 211.79, 291.28 and 170.27 is: 234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.79 : 291.28 = 170.27 : x
  2. Step 2: Convert to fraction form
    211.79/291.28 = 170.27/x
  3. Step 3: Cross multiply
    211.79x = 291.28 × 170.27
  4. Step 4: Simplify right side
    211.79x = 49,596.55
  5. Step 5: Solve for x
    x = 49,596.55/211.79
  6. Step 6: Final answer
    x = 234.18

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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.