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Finding the Fourth Proportional to 311.43, 466.91 and 189.66

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Solution

The fourth proportional to 311.43, 466.91 and 189.66 is: 284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.43 : 466.91 = 189.66 : x
  2. Step 2: Convert to fraction form
    311.43/466.91 = 189.66/x
  3. Step 3: Cross multiply
    311.43x = 466.91 × 189.66
  4. Step 4: Simplify right side
    311.43x = 88,554.15
  5. Step 5: Solve for x
    x = 88,554.15/311.43
  6. Step 6: Final answer
    x = 284.35

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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.