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Finding the Fourth Proportional to 218.07, 327.11 and 55.77

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Solution

The fourth proportional to 218.07, 327.11 and 55.77 is: 83.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.07 : 327.11 = 55.77 : x
  2. Step 2: Convert to fraction form
    218.07/327.11 = 55.77/x
  3. Step 3: Cross multiply
    218.07x = 327.11 × 55.77
  4. Step 4: Simplify right side
    218.07x = 18,241.42
  5. Step 5: Solve for x
    x = 18,241.42/218.07
  6. Step 6: Final answer
    x = 83.65

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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.