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Finding the Fourth Proportional to 172.76, 259.22 and 121.51

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Solution

The fourth proportional to 172.76, 259.22 and 121.51 is: 182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.76 : 259.22 = 121.51 : x
  2. Step 2: Convert to fraction form
    172.76/259.22 = 121.51/x
  3. Step 3: Cross multiply
    172.76x = 259.22 × 121.51
  4. Step 4: Simplify right side
    172.76x = 31,497.48
  5. Step 5: Solve for x
    x = 31,497.48/172.76
  6. Step 6: Final answer
    x = 182.32

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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.