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Finding the Fourth Proportional to 172.56, 237.60 and 149.22

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Solution

The fourth proportional to 172.56, 237.60 and 149.22 is: 205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.56 : 237.60 = 149.22 : x
  2. Step 2: Convert to fraction form
    172.56/237.60 = 149.22/x
  3. Step 3: Cross multiply
    172.56x = 237.60 × 149.22
  4. Step 4: Simplify right side
    172.56x = 35,454.67
  5. Step 5: Solve for x
    x = 35,454.67/172.56
  6. Step 6: Final answer
    x = 205.46

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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.