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Finding the Fourth Proportional to 556.08, 834.24 and 166.08

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Solution

The fourth proportional to 556.08, 834.24 and 166.08 is: 249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.08 : 834.24 = 166.08 : x
  2. Step 2: Convert to fraction form
    556.08/834.24 = 166.08/x
  3. Step 3: Cross multiply
    556.08x = 834.24 × 166.08
  4. Step 4: Simplify right side
    556.08x = 138,550.58
  5. Step 5: Solve for x
    x = 138,550.58/556.08
  6. Step 6: Final answer
    x = 249.16

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Similar ratio
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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.