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Finding the Fourth Proportional to 177.38, 267.60 and 172.52

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Solution

The fourth proportional to 177.38, 267.60 and 172.52 is: 260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.38 : 267.60 = 172.52 : x
  2. Step 2: Convert to fraction form
    177.38/267.60 = 172.52/x
  3. Step 3: Cross multiply
    177.38x = 267.60 × 172.52
  4. Step 4: Simplify right side
    177.38x = 46,166.35
  5. Step 5: Solve for x
    x = 46,166.35/177.38
  6. Step 6: Final answer
    x = 260.27

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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.