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Finding the Fourth Proportional to 217.81, 326.54 and 144.59

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Solution

The fourth proportional to 217.81, 326.54 and 144.59 is: 216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.81 : 326.54 = 144.59 : x
  2. Step 2: Convert to fraction form
    217.81/326.54 = 144.59/x
  3. Step 3: Cross multiply
    217.81x = 326.54 × 144.59
  4. Step 4: Simplify right side
    217.81x = 47,212.74
  5. Step 5: Solve for x
    x = 47,212.74/217.81
  6. Step 6: Final answer
    x = 216.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.