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Finding the Fourth Proportional to 206.95, 310.73 and 126.13

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Solution

The fourth proportional to 206.95, 310.73 and 126.13 is: 189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.95 : 310.73 = 126.13 : x
  2. Step 2: Convert to fraction form
    206.95/310.73 = 126.13/x
  3. Step 3: Cross multiply
    206.95x = 310.73 × 126.13
  4. Step 4: Simplify right side
    206.95x = 39,191.74
  5. Step 5: Solve for x
    x = 39,191.74/206.95
  6. Step 6: Final answer
    x = 189.38

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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.