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Finding the Fourth Proportional to 209.94, 289.59 and 144.48

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Solution

The fourth proportional to 209.94, 289.59 and 144.48 is: 199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.94 : 289.59 = 144.48 : x
  2. Step 2: Convert to fraction form
    209.94/289.59 = 144.48/x
  3. Step 3: Cross multiply
    209.94x = 289.59 × 144.48
  4. Step 4: Simplify right side
    209.94x = 41,839.96
  5. Step 5: Solve for x
    x = 41,839.96/209.94
  6. Step 6: Final answer
    x = 199.29

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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.