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Finding the Fourth Proportional to 172.36, 259.63 and 140.68

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Solution

The fourth proportional to 172.36, 259.63 and 140.68 is: 211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.36 : 259.63 = 140.68 : x
  2. Step 2: Convert to fraction form
    172.36/259.63 = 140.68/x
  3. Step 3: Cross multiply
    172.36x = 259.63 × 140.68
  4. Step 4: Simplify right side
    172.36x = 36,524.75
  5. Step 5: Solve for x
    x = 36,524.75/172.36
  6. Step 6: Final answer
    x = 211.91

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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.