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Finding the Fourth Proportional to 172.13, 258.21 and 69.42

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Solution

The fourth proportional to 172.13, 258.21 and 69.42 is: 104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 258.21 = 69.42 : x
  2. Step 2: Convert to fraction form
    172.13/258.21 = 69.42/x
  3. Step 3: Cross multiply
    172.13x = 258.21 × 69.42
  4. Step 4: Simplify right side
    172.13x = 17,924.94
  5. Step 5: Solve for x
    x = 17,924.94/172.13
  6. Step 6: Final answer
    x = 104.14

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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.