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Finding the Fourth Proportional to 144.99, 217.40 and 71.91

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Solution

The fourth proportional to 144.99, 217.40 and 71.91 is: 107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.99 : 217.40 = 71.91 : x
  2. Step 2: Convert to fraction form
    144.99/217.40 = 71.91/x
  3. Step 3: Cross multiply
    144.99x = 217.40 × 71.91
  4. Step 4: Simplify right side
    144.99x = 15,632.87
  5. Step 5: Solve for x
    x = 15,632.87/144.99
  6. Step 6: Final answer
    x = 107.82

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Why These Related Problems?

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