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Finding the Fourth Proportional to 243.73, 366.32 and 157.33

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Solution

The fourth proportional to 243.73, 366.32 and 157.33 is: 236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.73 : 366.32 = 157.33 : x
  2. Step 2: Convert to fraction form
    243.73/366.32 = 157.33/x
  3. Step 3: Cross multiply
    243.73x = 366.32 × 157.33
  4. Step 4: Simplify right side
    243.73x = 57,633.13
  5. Step 5: Solve for x
    x = 57,633.13/243.73
  6. Step 6: Final answer
    x = 236.46

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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.