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Finding the Fourth Proportional to 209.24, 315.05 and 188.60

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Solution

The fourth proportional to 209.24, 315.05 and 188.60 is: 283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.24 : 315.05 = 188.60 : x
  2. Step 2: Convert to fraction form
    209.24/315.05 = 188.60/x
  3. Step 3: Cross multiply
    209.24x = 315.05 × 188.60
  4. Step 4: Simplify right side
    209.24x = 59,418.43
  5. Step 5: Solve for x
    x = 59,418.43/209.24
  6. Step 6: Final answer
    x = 283.97

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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.