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Finding the Fourth Proportional to 218.66, 329.63 and 182.81

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Solution

The fourth proportional to 218.66, 329.63 and 182.81 is: 275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.66 : 329.63 = 182.81 : x
  2. Step 2: Convert to fraction form
    218.66/329.63 = 182.81/x
  3. Step 3: Cross multiply
    218.66x = 329.63 × 182.81
  4. Step 4: Simplify right side
    218.66x = 60,259.57
  5. Step 5: Solve for x
    x = 60,259.57/218.66
  6. Step 6: Final answer
    x = 275.59

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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.