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Finding the Fourth Proportional to 218.87, 327.60 and 164.87

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Solution

The fourth proportional to 218.87, 327.60 and 164.87 is: 246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.87 : 327.60 = 164.87 : x
  2. Step 2: Convert to fraction form
    218.87/327.60 = 164.87/x
  3. Step 3: Cross multiply
    218.87x = 327.60 × 164.87
  4. Step 4: Simplify right side
    218.87x = 54,009.77
  5. Step 5: Solve for x
    x = 54,009.77/218.87
  6. Step 6: Final answer
    x = 246.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.