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Finding the Fourth Proportional to 172.57, 238.52 and 166.42

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Solution

The fourth proportional to 172.57, 238.52 and 166.42 is: 230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.57 : 238.52 = 166.42 : x
  2. Step 2: Convert to fraction form
    172.57/238.52 = 166.42/x
  3. Step 3: Cross multiply
    172.57x = 238.52 × 166.42
  4. Step 4: Simplify right side
    172.57x = 39,693.74
  5. Step 5: Solve for x
    x = 39,693.74/172.57
  6. Step 6: Final answer
    x = 230.02

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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.