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Finding the Fourth Proportional to 172.80, 238.32 and 121.04

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Solution

The fourth proportional to 172.80, 238.32 and 121.04 is: 166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.80 : 238.32 = 121.04 : x
  2. Step 2: Convert to fraction form
    172.80/238.32 = 121.04/x
  3. Step 3: Cross multiply
    172.80x = 238.32 × 121.04
  4. Step 4: Simplify right side
    172.80x = 28,846.25
  5. Step 5: Solve for x
    x = 28,846.25/172.80
  6. Step 6: Final answer
    x = 166.93

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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.