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Finding the Fourth Proportional to 211.34, 316.82 and 83

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Solution

The fourth proportional to 211.34, 316.82 and 83 is: 124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.34 : 316.82 = 83 : x
  2. Step 2: Convert to fraction form
    211.34/316.82 = 83/x
  3. Step 3: Cross multiply
    211.34x = 316.82 × 83
  4. Step 4: Simplify right side
    211.34x = 26,296.06
  5. Step 5: Solve for x
    x = 26,296.06/211.34
  6. Step 6: Final answer
    x = 124.43

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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.