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Finding the Fourth Proportional to 179.30, 249.15 and 178.58

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Solution

The fourth proportional to 179.30, 249.15 and 178.58 is: 248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.30 : 249.15 = 178.58 : x
  2. Step 2: Convert to fraction form
    179.30/249.15 = 178.58/x
  3. Step 3: Cross multiply
    179.30x = 249.15 × 178.58
  4. Step 4: Simplify right side
    179.30x = 44,493.21
  5. Step 5: Solve for x
    x = 44,493.21/179.30
  6. Step 6: Final answer
    x = 248.15

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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.