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Finding the Fourth Proportional to 179.83, 270.85 and 171.19

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Solution

The fourth proportional to 179.83, 270.85 and 171.19 is: 257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.83 : 270.85 = 171.19 : x
  2. Step 2: Convert to fraction form
    179.83/270.85 = 171.19/x
  3. Step 3: Cross multiply
    179.83x = 270.85 × 171.19
  4. Step 4: Simplify right side
    179.83x = 46,366.81
  5. Step 5: Solve for x
    x = 46,366.81/179.83
  6. Step 6: Final answer
    x = 257.84

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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.