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Finding the Fourth Proportional to 209.77, 289.58 and 144.61

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Solution

The fourth proportional to 209.77, 289.58 and 144.61 is: 199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.77 : 289.58 = 144.61 : x
  2. Step 2: Convert to fraction form
    209.77/289.58 = 144.61/x
  3. Step 3: Cross multiply
    209.77x = 289.58 × 144.61
  4. Step 4: Simplify right side
    209.77x = 41,876.16
  5. Step 5: Solve for x
    x = 41,876.16/209.77
  6. Step 6: Final answer
    x = 199.63

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