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Finding the Fourth Proportional to 206.03, 308.32 and 160.09

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Solution

The fourth proportional to 206.03, 308.32 and 160.09 is: 239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.03 : 308.32 = 160.09 : x
  2. Step 2: Convert to fraction form
    206.03/308.32 = 160.09/x
  3. Step 3: Cross multiply
    206.03x = 308.32 × 160.09
  4. Step 4: Simplify right side
    206.03x = 49,358.95
  5. Step 5: Solve for x
    x = 49,358.95/206.03
  6. Step 6: Final answer
    x = 239.57

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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.