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Finding the Fourth Proportional to 206.63, 309.37 and 138.05

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Solution

The fourth proportional to 206.63, 309.37 and 138.05 is: 206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.63 : 309.37 = 138.05 : x
  2. Step 2: Convert to fraction form
    206.63/309.37 = 138.05/x
  3. Step 3: Cross multiply
    206.63x = 309.37 × 138.05
  4. Step 4: Simplify right side
    206.63x = 42,709.80
  5. Step 5: Solve for x
    x = 42,709.80/206.63
  6. Step 6: Final answer
    x = 206.70

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