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Finding the Fourth Proportional to 311, 466.50 and 83

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Solution

The fourth proportional to 311, 466.50 and 83 is: 124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311 : 466.50 = 83 : x
  2. Step 2: Convert to fraction form
    311/466.50 = 83/x
  3. Step 3: Cross multiply
    311x = 466.50 × 83
  4. Step 4: Simplify right side
    311x = 38,719.50
  5. Step 5: Solve for x
    x = 38,719.50/311
  6. Step 6: Final answer
    x = 124.50

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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.