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Finding the Fourth Proportional to 273.34, 410.09 and 157.86

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Solution

The fourth proportional to 273.34, 410.09 and 157.86 is: 236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.34 : 410.09 = 157.86 : x
  2. Step 2: Convert to fraction form
    273.34/410.09 = 157.86/x
  3. Step 3: Cross multiply
    273.34x = 410.09 × 157.86
  4. Step 4: Simplify right side
    273.34x = 64,736.02
  5. Step 5: Solve for x
    x = 64,736.02/273.34
  6. Step 6: Final answer
    x = 236.84

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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.