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Finding the Fourth Proportional to 242, 334.23 and 164.24

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Solution

The fourth proportional to 242, 334.23 and 164.24 is: 226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242 : 334.23 = 164.24 : x
  2. Step 2: Convert to fraction form
    242/334.23 = 164.24/x
  3. Step 3: Cross multiply
    242x = 334.23 × 164.24
  4. Step 4: Simplify right side
    242x = 54,893.94
  5. Step 5: Solve for x
    x = 54,893.94/242
  6. Step 6: Final answer
    x = 226.83

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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.