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Finding the Fourth Proportional to 311.91, 430.14 and 199.77

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Solution

The fourth proportional to 311.91, 430.14 and 199.77 is: 275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.91 : 430.14 = 199.77 : x
  2. Step 2: Convert to fraction form
    311.91/430.14 = 199.77/x
  3. Step 3: Cross multiply
    311.91x = 430.14 × 199.77
  4. Step 4: Simplify right side
    311.91x = 85,929.07
  5. Step 5: Solve for x
    x = 85,929.07/311.91
  6. Step 6: Final answer
    x = 275.49

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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.