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Finding the Fourth Proportional to 320.22, 480.42 and 157.86

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Solution

The fourth proportional to 320.22, 480.42 and 157.86 is: 236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.22 : 480.42 = 157.86 : x
  2. Step 2: Convert to fraction form
    320.22/480.42 = 157.86/x
  3. Step 3: Cross multiply
    320.22x = 480.42 × 157.86
  4. Step 4: Simplify right side
    320.22x = 75,839.10
  5. Step 5: Solve for x
    x = 75,839.10/320.22
  6. Step 6: Final answer
    x = 236.83

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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.