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Finding the Fourth Proportional to 173.82, 259.49 and 143.44

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Solution

The fourth proportional to 173.82, 259.49 and 143.44 is: 214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.82 : 259.49 = 143.44 : x
  2. Step 2: Convert to fraction form
    173.82/259.49 = 143.44/x
  3. Step 3: Cross multiply
    173.82x = 259.49 × 143.44
  4. Step 4: Simplify right side
    173.82x = 37,221.25
  5. Step 5: Solve for x
    x = 37,221.25/173.82
  6. Step 6: Final answer
    x = 214.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.