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Finding the Fourth Proportional to 172.74, 259.19 and 75.23

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Solution

The fourth proportional to 172.74, 259.19 and 75.23 is: 112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.74 : 259.19 = 75.23 : x
  2. Step 2: Convert to fraction form
    172.74/259.19 = 75.23/x
  3. Step 3: Cross multiply
    172.74x = 259.19 × 75.23
  4. Step 4: Simplify right side
    172.74x = 19,497.19
  5. Step 5: Solve for x
    x = 19,497.19/172.74
  6. Step 6: Final answer
    x = 112.87

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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.