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Finding the Fourth Proportional to 177.56, 267.57 and 172.09

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Solution

The fourth proportional to 177.56, 267.57 and 172.09 is: 259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.56 : 267.57 = 172.09 : x
  2. Step 2: Convert to fraction form
    177.56/267.57 = 172.09/x
  3. Step 3: Cross multiply
    177.56x = 267.57 × 172.09
  4. Step 4: Simplify right side
    177.56x = 46,046.46
  5. Step 5: Solve for x
    x = 46,046.46/177.56
  6. Step 6: Final answer
    x = 259.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.