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Finding the Fourth Proportional to 311.92, 430.53 and 213.65

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Solution

The fourth proportional to 311.92, 430.53 and 213.65 is: 294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.92 : 430.53 = 213.65 : x
  2. Step 2: Convert to fraction form
    311.92/430.53 = 213.65/x
  3. Step 3: Cross multiply
    311.92x = 430.53 × 213.65
  4. Step 4: Simplify right side
    311.92x = 91,981.40
  5. Step 5: Solve for x
    x = 91,981.40/311.92
  6. Step 6: Final answer
    x = 294.89

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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.