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Finding the Fourth Proportional to 311.46, 429.86 and 206.67

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Solution

The fourth proportional to 311.46, 429.86 and 206.67 is: 285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.46 : 429.86 = 206.67 : x
  2. Step 2: Convert to fraction form
    311.46/429.86 = 206.67/x
  3. Step 3: Cross multiply
    311.46x = 429.86 × 206.67
  4. Step 4: Simplify right side
    311.46x = 88,837.71
  5. Step 5: Solve for x
    x = 88,837.71/311.46
  6. Step 6: Final answer
    x = 285.23

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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.