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Finding the Fourth Proportional to 206.44, 309.26 and 103.60

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Solution

The fourth proportional to 206.44, 309.26 and 103.60 is: 155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.44 : 309.26 = 103.60 : x
  2. Step 2: Convert to fraction form
    206.44/309.26 = 103.60/x
  3. Step 3: Cross multiply
    206.44x = 309.26 × 103.60
  4. Step 4: Simplify right side
    206.44x = 32,039.34
  5. Step 5: Solve for x
    x = 32,039.34/206.44
  6. Step 6: Final answer
    x = 155.20

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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.