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Finding the Fourth Proportional to 172.47, 239.10 and 169.12

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Solution

The fourth proportional to 172.47, 239.10 and 169.12 is: 234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.47 : 239.10 = 169.12 : x
  2. Step 2: Convert to fraction form
    172.47/239.10 = 169.12/x
  3. Step 3: Cross multiply
    172.47x = 239.10 × 169.12
  4. Step 4: Simplify right side
    172.47x = 40,435.75
  5. Step 5: Solve for x
    x = 40,435.75/172.47
  6. Step 6: Final answer
    x = 234.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.