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Finding the Fourth Proportional to 172.16, 238.72 and 166.40

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Solution

The fourth proportional to 172.16, 238.72 and 166.40 is: 230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.16 : 238.72 = 166.40 : x
  2. Step 2: Convert to fraction form
    172.16/238.72 = 166.40/x
  3. Step 3: Cross multiply
    172.16x = 238.72 × 166.40
  4. Step 4: Simplify right side
    172.16x = 39,723.01
  5. Step 5: Solve for x
    x = 39,723.01/172.16
  6. Step 6: Final answer
    x = 230.73

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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.