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Finding the Fourth Proportional to 222.01, 334.31 and 164.63

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Solution

The fourth proportional to 222.01, 334.31 and 164.63 is: 247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.01 : 334.31 = 164.63 : x
  2. Step 2: Convert to fraction form
    222.01/334.31 = 164.63/x
  3. Step 3: Cross multiply
    222.01x = 334.31 × 164.63
  4. Step 4: Simplify right side
    222.01x = 55,037.47
  5. Step 5: Solve for x
    x = 55,037.47/222.01
  6. Step 6: Final answer
    x = 247.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.