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Finding the Fourth Proportional to 172.54, 237.60 and 128.80

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Solution

The fourth proportional to 172.54, 237.60 and 128.80 is: 177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.54 : 237.60 = 128.80 : x
  2. Step 2: Convert to fraction form
    172.54/237.60 = 128.80/x
  3. Step 3: Cross multiply
    172.54x = 237.60 × 128.80
  4. Step 4: Simplify right side
    172.54x = 30,602.88
  5. Step 5: Solve for x
    x = 30,602.88/172.54
  6. Step 6: Final answer
    x = 177.37

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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.