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Finding the Fourth Proportional to 206.57, 309.57 and 103.88

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Solution

The fourth proportional to 206.57, 309.57 and 103.88 is: 155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.57 : 309.57 = 103.88 : x
  2. Step 2: Convert to fraction form
    206.57/309.57 = 103.88/x
  3. Step 3: Cross multiply
    206.57x = 309.57 × 103.88
  4. Step 4: Simplify right side
    206.57x = 32,158.13
  5. Step 5: Solve for x
    x = 32,158.13/206.57
  6. Step 6: Final answer
    x = 155.68

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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.