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Finding the Fourth Proportional to 556.09, 834.21 and 160.78

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Solution

The fourth proportional to 556.09, 834.21 and 160.78 is: 241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.09 : 834.21 = 160.78 : x
  2. Step 2: Convert to fraction form
    556.09/834.21 = 160.78/x
  3. Step 3: Cross multiply
    556.09x = 834.21 × 160.78
  4. Step 4: Simplify right side
    556.09x = 134,124.28
  5. Step 5: Solve for x
    x = 134,124.28/556.09
  6. Step 6: Final answer
    x = 241.19

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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.