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Finding the Fourth Proportional to 219.70, 311.24 and 219.70

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Solution

The fourth proportional to 219.70, 311.24 and 219.70 is: 311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.70 : 311.24 = 219.70 : x
  2. Step 2: Convert to fraction form
    219.70/311.24 = 219.70/x
  3. Step 3: Cross multiply
    219.70x = 311.24 × 219.70
  4. Step 4: Simplify right side
    219.70x = 68,379.43
  5. Step 5: Solve for x
    x = 68,379.43/219.70
  6. Step 6: Final answer
    x = 311.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.