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Finding the Fourth Proportional to 223.12, 308.16 and 164.32

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Solution

The fourth proportional to 223.12, 308.16 and 164.32 is: 226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.12 : 308.16 = 164.32 : x
  2. Step 2: Convert to fraction form
    223.12/308.16 = 164.32/x
  3. Step 3: Cross multiply
    223.12x = 308.16 × 164.32
  4. Step 4: Simplify right side
    223.12x = 50,636.85
  5. Step 5: Solve for x
    x = 50,636.85/223.12
  6. Step 6: Final answer
    x = 226.95

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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.