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Finding the Fourth Proportional to 172.81, 259.40 and 95.82

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Solution

The fourth proportional to 172.81, 259.40 and 95.82 is: 143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.81 : 259.40 = 95.82 : x
  2. Step 2: Convert to fraction form
    172.81/259.40 = 95.82/x
  3. Step 3: Cross multiply
    172.81x = 259.40 × 95.82
  4. Step 4: Simplify right side
    172.81x = 24,854.97
  5. Step 5: Solve for x
    x = 24,854.97/172.81
  6. Step 6: Final answer
    x = 143.83

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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.