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Finding the Fourth Proportional to 172.61, 259.79 and 129.51

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Solution

The fourth proportional to 172.61, 259.79 and 129.51 is: 194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.61 : 259.79 = 129.51 : x
  2. Step 2: Convert to fraction form
    172.61/259.79 = 129.51/x
  3. Step 3: Cross multiply
    172.61x = 259.79 × 129.51
  4. Step 4: Simplify right side
    172.61x = 33,645.08
  5. Step 5: Solve for x
    x = 33,645.08/172.61
  6. Step 6: Final answer
    x = 194.92

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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.