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Finding the Fourth Proportional to 334.37, 501.22 and 160.78

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Solution

The fourth proportional to 334.37, 501.22 and 160.78 is: 241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.37 : 501.22 = 160.78 : x
  2. Step 2: Convert to fraction form
    334.37/501.22 = 160.78/x
  3. Step 3: Cross multiply
    334.37x = 501.22 × 160.78
  4. Step 4: Simplify right side
    334.37x = 80,586.15
  5. Step 5: Solve for x
    x = 80,586.15/334.37
  6. Step 6: Final answer
    x = 241.01

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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.