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Finding the Fourth Proportional to 183.30, 273.46 and 157.32

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Solution

The fourth proportional to 183.30, 273.46 and 157.32 is: 234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.30 : 273.46 = 157.32 : x
  2. Step 2: Convert to fraction form
    183.30/273.46 = 157.32/x
  3. Step 3: Cross multiply
    183.30x = 273.46 × 157.32
  4. Step 4: Simplify right side
    183.30x = 43,020.73
  5. Step 5: Solve for x
    x = 43,020.73/183.30
  6. Step 6: Final answer
    x = 234.70

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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.