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Finding the Fourth Proportional to 243.59, 336.23 and 164.85

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Solution

The fourth proportional to 243.59, 336.23 and 164.85 is: 227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.59 : 336.23 = 164.85 : x
  2. Step 2: Convert to fraction form
    243.59/336.23 = 164.85/x
  3. Step 3: Cross multiply
    243.59x = 336.23 × 164.85
  4. Step 4: Simplify right side
    243.59x = 55,427.93
  5. Step 5: Solve for x
    x = 55,427.93/243.59
  6. Step 6: Final answer
    x = 227.54

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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.