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Finding the Fourth Proportional to 209.69, 316.01 and 189.15

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Solution

The fourth proportional to 209.69, 316.01 and 189.15 is: 285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.69 : 316.01 = 189.15 : x
  2. Step 2: Convert to fraction form
    209.69/316.01 = 189.15/x
  3. Step 3: Cross multiply
    209.69x = 316.01 × 189.15
  4. Step 4: Simplify right side
    209.69x = 59,772.35
  5. Step 5: Solve for x
    x = 59,772.35/209.69
  6. Step 6: Final answer
    x = 285.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.