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Finding the Fourth Proportional to 223.35, 334.83 and 165.51

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Solution

The fourth proportional to 223.35, 334.83 and 165.51 is: 248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.35 : 334.83 = 165.51 : x
  2. Step 2: Convert to fraction form
    223.35/334.83 = 165.51/x
  3. Step 3: Cross multiply
    223.35x = 334.83 × 165.51
  4. Step 4: Simplify right side
    223.35x = 55,415.21
  5. Step 5: Solve for x
    x = 55,415.21/223.35
  6. Step 6: Final answer
    x = 248.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.