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Finding the Fourth Proportional to 179.21, 249.01 and 177.31

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Solution

The fourth proportional to 179.21, 249.01 and 177.31 is: 246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.21 : 249.01 = 177.31 : x
  2. Step 2: Convert to fraction form
    179.21/249.01 = 177.31/x
  3. Step 3: Cross multiply
    179.21x = 249.01 × 177.31
  4. Step 4: Simplify right side
    179.21x = 44,151.96
  5. Step 5: Solve for x
    x = 44,151.96/179.21
  6. Step 6: Final answer
    x = 246.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.