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Finding the Fourth Proportional to 172.15, 258.06 and 114.39

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Solution

The fourth proportional to 172.15, 258.06 and 114.39 is: 171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.15 : 258.06 = 114.39 : x
  2. Step 2: Convert to fraction form
    172.15/258.06 = 114.39/x
  3. Step 3: Cross multiply
    172.15x = 258.06 × 114.39
  4. Step 4: Simplify right side
    172.15x = 29,519.48
  5. Step 5: Solve for x
    x = 29,519.48/172.15
  6. Step 6: Final answer
    x = 171.48

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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.