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Finding the Fourth Proportional to 311.66, 429.96 and 199.66

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Solution

The fourth proportional to 311.66, 429.96 and 199.66 is: 275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.66 : 429.96 = 199.66 : x
  2. Step 2: Convert to fraction form
    311.66/429.96 = 199.66/x
  3. Step 3: Cross multiply
    311.66x = 429.96 × 199.66
  4. Step 4: Simplify right side
    311.66x = 85,845.81
  5. Step 5: Solve for x
    x = 85,845.81/311.66
  6. Step 6: Final answer
    x = 275.45

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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.