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Finding the Fourth Proportional to 179.44, 249.12 and 174.42

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Solution

The fourth proportional to 179.44, 249.12 and 174.42 is: 242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.44 : 249.12 = 174.42 : x
  2. Step 2: Convert to fraction form
    179.44/249.12 = 174.42/x
  3. Step 3: Cross multiply
    179.44x = 249.12 × 174.42
  4. Step 4: Simplify right side
    179.44x = 43,451.51
  5. Step 5: Solve for x
    x = 43,451.51/179.44
  6. Step 6: Final answer
    x = 242.15

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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.