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Finding the Fourth Proportional to 183.32, 273.98 and 157.80

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Solution

The fourth proportional to 183.32, 273.98 and 157.80 is: 235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.32 : 273.98 = 157.80 : x
  2. Step 2: Convert to fraction form
    183.32/273.98 = 157.80/x
  3. Step 3: Cross multiply
    183.32x = 273.98 × 157.80
  4. Step 4: Simplify right side
    183.32x = 43,234.04
  5. Step 5: Solve for x
    x = 43,234.04/183.32
  6. Step 6: Final answer
    x = 235.84

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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.