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Finding the Fourth Proportional to 218.12, 301.40 and 165.57

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Solution

The fourth proportional to 218.12, 301.40 and 165.57 is: 228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.12 : 301.40 = 165.57 : x
  2. Step 2: Convert to fraction form
    218.12/301.40 = 165.57/x
  3. Step 3: Cross multiply
    218.12x = 301.40 × 165.57
  4. Step 4: Simplify right side
    218.12x = 49,901.84
  5. Step 5: Solve for x
    x = 49,901.84/218.12
  6. Step 6: Final answer
    x = 228.78

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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.