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Finding the Fourth Proportional to 179.66, 270.81 and 164.28

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Solution

The fourth proportional to 179.66, 270.81 and 164.28 is: 247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.66 : 270.81 = 164.28 : x
  2. Step 2: Convert to fraction form
    179.66/270.81 = 164.28/x
  3. Step 3: Cross multiply
    179.66x = 270.81 × 164.28
  4. Step 4: Simplify right side
    179.66x = 44,488.67
  5. Step 5: Solve for x
    x = 44,488.67/179.66
  6. Step 6: Final answer
    x = 247.63

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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.