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Finding the Fourth Proportional to 172.42, 237.97 and 110.23

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Solution

The fourth proportional to 172.42, 237.97 and 110.23 is: 152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.42 : 237.97 = 110.23 : x
  2. Step 2: Convert to fraction form
    172.42/237.97 = 110.23/x
  3. Step 3: Cross multiply
    172.42x = 237.97 × 110.23
  4. Step 4: Simplify right side
    172.42x = 26,231.43
  5. Step 5: Solve for x
    x = 26,231.43/172.42
  6. Step 6: Final answer
    x = 152.14

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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.