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Finding the Fourth Proportional to 171.88, 259.11 and 144.99

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Solution

The fourth proportional to 171.88, 259.11 and 144.99 is: 218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.88 : 259.11 = 144.99 : x
  2. Step 2: Convert to fraction form
    171.88/259.11 = 144.99/x
  3. Step 3: Cross multiply
    171.88x = 259.11 × 144.99
  4. Step 4: Simplify right side
    171.88x = 37,568.36
  5. Step 5: Solve for x
    x = 37,568.36/171.88
  6. Step 6: Final answer
    x = 218.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.