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Finding the Fourth Proportional to 177.44, 264.87 and 170.60

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Solution

The fourth proportional to 177.44, 264.87 and 170.60 is: 254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.44 : 264.87 = 170.60 : x
  2. Step 2: Convert to fraction form
    177.44/264.87 = 170.60/x
  3. Step 3: Cross multiply
    177.44x = 264.87 × 170.60
  4. Step 4: Simplify right side
    177.44x = 45,185.50
  5. Step 5: Solve for x
    x = 45,185.50/177.44
  6. Step 6: Final answer
    x = 254.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.