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Finding the Fourth Proportional to 218.37, 301.35 and 120.12

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Solution

The fourth proportional to 218.37, 301.35 and 120.12 is: 165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.37 : 301.35 = 120.12 : x
  2. Step 2: Convert to fraction form
    218.37/301.35 = 120.12/x
  3. Step 3: Cross multiply
    218.37x = 301.35 × 120.12
  4. Step 4: Simplify right side
    218.37x = 36,198.16
  5. Step 5: Solve for x
    x = 36,198.16/218.37
  6. Step 6: Final answer
    x = 165.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.