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Finding the Fourth Proportional to 172.75, 238.31 and 153.82

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Solution

The fourth proportional to 172.75, 238.31 and 153.82 is: 212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.75 : 238.31 = 153.82 : x
  2. Step 2: Convert to fraction form
    172.75/238.31 = 153.82/x
  3. Step 3: Cross multiply
    172.75x = 238.31 × 153.82
  4. Step 4: Simplify right side
    172.75x = 36,655.61
  5. Step 5: Solve for x
    x = 36,655.61/172.75
  6. Step 6: Final answer
    x = 212.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.