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Finding the Fourth Proportional to 173.26, 260.84 and 143.29

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Solution

The fourth proportional to 173.26, 260.84 and 143.29 is: 215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.26 : 260.84 = 143.29 : x
  2. Step 2: Convert to fraction form
    173.26/260.84 = 143.29/x
  3. Step 3: Cross multiply
    173.26x = 260.84 × 143.29
  4. Step 4: Simplify right side
    173.26x = 37,375.76
  5. Step 5: Solve for x
    x = 37,375.76/173.26
  6. Step 6: Final answer
    x = 215.72

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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.