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Finding the Fourth Proportional to 209.64, 315.58 and 190.80

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Solution

The fourth proportional to 209.64, 315.58 and 190.80 is: 287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.64 : 315.58 = 190.80 : x
  2. Step 2: Convert to fraction form
    209.64/315.58 = 190.80/x
  3. Step 3: Cross multiply
    209.64x = 315.58 × 190.80
  4. Step 4: Simplify right side
    209.64x = 60,212.66
  5. Step 5: Solve for x
    x = 60,212.66/209.64
  6. Step 6: Final answer
    x = 287.22

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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.