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Finding the Fourth Proportional to 172.87, 258.89 and 143.98

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Solution

The fourth proportional to 172.87, 258.89 and 143.98 is: 215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.87 : 258.89 = 143.98 : x
  2. Step 2: Convert to fraction form
    172.87/258.89 = 143.98/x
  3. Step 3: Cross multiply
    172.87x = 258.89 × 143.98
  4. Step 4: Simplify right side
    172.87x = 37,273.69
  5. Step 5: Solve for x
    x = 37,273.69/172.87
  6. Step 6: Final answer
    x = 215.62

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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.