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Finding the Fourth Proportional to 550.97, 826.36 and 166.13

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Solution

The fourth proportional to 550.97, 826.36 and 166.13 is: 249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.97 : 826.36 = 166.13 : x
  2. Step 2: Convert to fraction form
    550.97/826.36 = 166.13/x
  3. Step 3: Cross multiply
    550.97x = 826.36 × 166.13
  4. Step 4: Simplify right side
    550.97x = 137,278.22
  5. Step 5: Solve for x
    x = 137,278.22/550.97
  6. Step 6: Final answer
    x = 249.16

Related Problems

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Double scale
Find fourth proportional to 551.97, 827.85 and 167.13
Similar ratio
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1.5x scale

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.