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Finding the Fourth Proportional to 173.47, 258.97 and 143.09

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Solution

The fourth proportional to 173.47, 258.97 and 143.09 is: 213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.47 : 258.97 = 143.09 : x
  2. Step 2: Convert to fraction form
    173.47/258.97 = 143.09/x
  3. Step 3: Cross multiply
    173.47x = 258.97 × 143.09
  4. Step 4: Simplify right side
    173.47x = 37,056.02
  5. Step 5: Solve for x
    x = 37,056.02/173.47
  6. Step 6: Final answer
    x = 213.62

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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.