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Finding the Fourth Proportional to 213.80, 296.29 and 211.19

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Solution

The fourth proportional to 213.80, 296.29 and 211.19 is: 292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.80 : 296.29 = 211.19 : x
  2. Step 2: Convert to fraction form
    213.80/296.29 = 211.19/x
  3. Step 3: Cross multiply
    213.80x = 296.29 × 211.19
  4. Step 4: Simplify right side
    213.80x = 62,573.70
  5. Step 5: Solve for x
    x = 62,573.70/213.80
  6. Step 6: Final answer
    x = 292.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.