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Finding the Fourth Proportional to 206.24, 309.33 and 140.87

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Solution

The fourth proportional to 206.24, 309.33 and 140.87 is: 211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 309.33 = 140.87 : x
  2. Step 2: Convert to fraction form
    206.24/309.33 = 140.87/x
  3. Step 3: Cross multiply
    206.24x = 309.33 × 140.87
  4. Step 4: Simplify right side
    206.24x = 43,573.77
  5. Step 5: Solve for x
    x = 43,573.77/206.24
  6. Step 6: Final answer
    x = 211.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.