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Finding the Fourth Proportional to 206.75, 310.23 and 138.57

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Solution

The fourth proportional to 206.75, 310.23 and 138.57 is: 207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.75 : 310.23 = 138.57 : x
  2. Step 2: Convert to fraction form
    206.75/310.23 = 138.57/x
  3. Step 3: Cross multiply
    206.75x = 310.23 × 138.57
  4. Step 4: Simplify right side
    206.75x = 42,988.57
  5. Step 5: Solve for x
    x = 42,988.57/206.75
  6. Step 6: Final answer
    x = 207.93

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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.