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Finding the Fourth Proportional to 172.92, 238.63 and 99.23

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Solution

The fourth proportional to 172.92, 238.63 and 99.23 is: 136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.92 : 238.63 = 99.23 : x
  2. Step 2: Convert to fraction form
    172.92/238.63 = 99.23/x
  3. Step 3: Cross multiply
    172.92x = 238.63 × 99.23
  4. Step 4: Simplify right side
    172.92x = 23,679.25
  5. Step 5: Solve for x
    x = 23,679.25/172.92
  6. Step 6: Final answer
    x = 136.94

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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.