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Finding the Fourth Proportional to 173.82, 259.71 and 143.04

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Solution

The fourth proportional to 173.82, 259.71 and 143.04 is: 213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.82 : 259.71 = 143.04 : x
  2. Step 2: Convert to fraction form
    173.82/259.71 = 143.04/x
  3. Step 3: Cross multiply
    173.82x = 259.71 × 143.04
  4. Step 4: Simplify right side
    173.82x = 37,148.92
  5. Step 5: Solve for x
    x = 37,148.92/173.82
  6. Step 6: Final answer
    x = 213.72

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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.