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Finding the Fourth Proportional to 164.43, 246.66 and 126.42

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Solution

The fourth proportional to 164.43, 246.66 and 126.42 is: 189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.43 : 246.66 = 126.42 : x
  2. Step 2: Convert to fraction form
    164.43/246.66 = 126.42/x
  3. Step 3: Cross multiply
    164.43x = 246.66 × 126.42
  4. Step 4: Simplify right side
    164.43x = 31,182.76
  5. Step 5: Solve for x
    x = 31,182.76/164.43
  6. Step 6: Final answer
    x = 189.64

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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.