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Finding the Fourth Proportional to 209.60, 315.56 and 161.72

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Solution

The fourth proportional to 209.60, 315.56 and 161.72 is: 243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.60 : 315.56 = 161.72 : x
  2. Step 2: Convert to fraction form
    209.60/315.56 = 161.72/x
  3. Step 3: Cross multiply
    209.60x = 315.56 × 161.72
  4. Step 4: Simplify right side
    209.60x = 51,032.36
  5. Step 5: Solve for x
    x = 51,032.36/209.60
  6. Step 6: Final answer
    x = 243.48

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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.