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Finding the Fourth Proportional to 418.12, 576.74 and 311.69

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Solution

The fourth proportional to 418.12, 576.74 and 311.69 is: 429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.12 : 576.74 = 311.69 : x
  2. Step 2: Convert to fraction form
    418.12/576.74 = 311.69/x
  3. Step 3: Cross multiply
    418.12x = 576.74 × 311.69
  4. Step 4: Simplify right side
    418.12x = 179,764.09
  5. Step 5: Solve for x
    x = 179,764.09/418.12
  6. Step 6: Final answer
    x = 429.93

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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.