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Finding the Fourth Proportional to 218.02, 326.87 and 120.57

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Solution

The fourth proportional to 218.02, 326.87 and 120.57 is: 180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.02 : 326.87 = 120.57 : x
  2. Step 2: Convert to fraction form
    218.02/326.87 = 120.57/x
  3. Step 3: Cross multiply
    218.02x = 326.87 × 120.57
  4. Step 4: Simplify right side
    218.02x = 39,410.72
  5. Step 5: Solve for x
    x = 39,410.72/218.02
  6. Step 6: Final answer
    x = 180.77

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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.