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Finding the Fourth Proportional to 223.21, 307.87 and 164.21

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Solution

The fourth proportional to 223.21, 307.87 and 164.21 is: 226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.21 : 307.87 = 164.21 : x
  2. Step 2: Convert to fraction form
    223.21/307.87 = 164.21/x
  3. Step 3: Cross multiply
    223.21x = 307.87 × 164.21
  4. Step 4: Simplify right side
    223.21x = 50,555.69
  5. Step 5: Solve for x
    x = 50,555.69/223.21
  6. Step 6: Final answer
    x = 226.50

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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.