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Finding the Fourth Proportional to 179.08, 269.65 and 131.32

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Solution

The fourth proportional to 179.08, 269.65 and 131.32 is: 197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.08 : 269.65 = 131.32 : x
  2. Step 2: Convert to fraction form
    179.08/269.65 = 131.32/x
  3. Step 3: Cross multiply
    179.08x = 269.65 × 131.32
  4. Step 4: Simplify right side
    179.08x = 35,410.44
  5. Step 5: Solve for x
    x = 35,410.44/179.08
  6. Step 6: Final answer
    x = 197.74

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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.