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Finding the Fourth Proportional to 211.71, 316.96 and 141.46

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Solution

The fourth proportional to 211.71, 316.96 and 141.46 is: 211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.71 : 316.96 = 141.46 : x
  2. Step 2: Convert to fraction form
    211.71/316.96 = 141.46/x
  3. Step 3: Cross multiply
    211.71x = 316.96 × 141.46
  4. Step 4: Simplify right side
    211.71x = 44,837.16
  5. Step 5: Solve for x
    x = 44,837.16/211.71
  6. Step 6: Final answer
    x = 211.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.