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Finding the Fourth Proportional to 164.89, 246.20 and 141.79

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Solution

The fourth proportional to 164.89, 246.20 and 141.79 is: 211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.89 : 246.20 = 141.79 : x
  2. Step 2: Convert to fraction form
    164.89/246.20 = 141.79/x
  3. Step 3: Cross multiply
    164.89x = 246.20 × 141.79
  4. Step 4: Simplify right side
    164.89x = 34,908.70
  5. Step 5: Solve for x
    x = 34,908.70/164.89
  6. Step 6: Final answer
    x = 211.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.