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Finding the Fourth Proportional to 209.18, 288.48 and 142.64

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Solution

The fourth proportional to 209.18, 288.48 and 142.64 is: 196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.18 : 288.48 = 142.64 : x
  2. Step 2: Convert to fraction form
    209.18/288.48 = 142.64/x
  3. Step 3: Cross multiply
    209.18x = 288.48 × 142.64
  4. Step 4: Simplify right side
    209.18x = 41,148.79
  5. Step 5: Solve for x
    x = 41,148.79/209.18
  6. Step 6: Final answer
    x = 196.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.