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Finding the Fourth Proportional to 172.63, 258.06 and 129.28

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Solution

The fourth proportional to 172.63, 258.06 and 129.28 is: 193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.63 : 258.06 = 129.28 : x
  2. Step 2: Convert to fraction form
    172.63/258.06 = 129.28/x
  3. Step 3: Cross multiply
    172.63x = 258.06 × 129.28
  4. Step 4: Simplify right side
    172.63x = 33,360.06
  5. Step 5: Solve for x
    x = 33,360.06/172.63
  6. Step 6: Final answer
    x = 193.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.