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Finding the Fourth Proportional to 311, 429.17 and 184.94

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Solution

The fourth proportional to 311, 429.17 and 184.94 is: 255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311 : 429.17 = 184.94 : x
  2. Step 2: Convert to fraction form
    311/429.17 = 184.94/x
  3. Step 3: Cross multiply
    311x = 429.17 × 184.94
  4. Step 4: Simplify right side
    311x = 79,370.70
  5. Step 5: Solve for x
    x = 79,370.70/311
  6. Step 6: Final answer
    x = 255.21

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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.