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Finding the Fourth Proportional to 172.92, 238.74 and 151.04

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Solution

The fourth proportional to 172.92, 238.74 and 151.04 is: 208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.92 : 238.74 = 151.04 : x
  2. Step 2: Convert to fraction form
    172.92/238.74 = 151.04/x
  3. Step 3: Cross multiply
    172.92x = 238.74 × 151.04
  4. Step 4: Simplify right side
    172.92x = 36,059.29
  5. Step 5: Solve for x
    x = 36,059.29/172.92
  6. Step 6: Final answer
    x = 208.53

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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.