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Finding the Fourth Proportional to 218.53, 327.84 and 64.45

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Solution

The fourth proportional to 218.53, 327.84 and 64.45 is: 96.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.53 : 327.84 = 64.45 : x
  2. Step 2: Convert to fraction form
    218.53/327.84 = 64.45/x
  3. Step 3: Cross multiply
    218.53x = 327.84 × 64.45
  4. Step 4: Simplify right side
    218.53x = 21,129.29
  5. Step 5: Solve for x
    x = 21,129.29/218.53
  6. Step 6: Final answer
    x = 96.69

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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.