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Finding the Fourth Proportional to 311.69, 429.77 and 199.50

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Solution

The fourth proportional to 311.69, 429.77 and 199.50 is: 275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.69 : 429.77 = 199.50 : x
  2. Step 2: Convert to fraction form
    311.69/429.77 = 199.50/x
  3. Step 3: Cross multiply
    311.69x = 429.77 × 199.50
  4. Step 4: Simplify right side
    311.69x = 85,740.48
  5. Step 5: Solve for x
    x = 85,740.48/311.69
  6. Step 6: Final answer
    x = 275.09

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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.