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Finding the Fourth Proportional to 218.25, 327.20 and 153.05

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Solution

The fourth proportional to 218.25, 327.20 and 153.05 is: 229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.25 : 327.20 = 153.05 : x
  2. Step 2: Convert to fraction form
    218.25/327.20 = 153.05/x
  3. Step 3: Cross multiply
    218.25x = 327.20 × 153.05
  4. Step 4: Simplify right side
    218.25x = 50,075.56
  5. Step 5: Solve for x
    x = 50,075.56/218.25
  6. Step 6: Final answer
    x = 229.44

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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.