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Finding the Fourth Proportional to 209.48, 315.32 and 191.02

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Solution

The fourth proportional to 209.48, 315.32 and 191.02 is: 287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.48 : 315.32 = 191.02 : x
  2. Step 2: Convert to fraction form
    209.48/315.32 = 191.02/x
  3. Step 3: Cross multiply
    209.48x = 315.32 × 191.02
  4. Step 4: Simplify right side
    209.48x = 60,231.95
  5. Step 5: Solve for x
    x = 60,231.95/209.48
  6. Step 6: Final answer
    x = 287.53

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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.