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Finding the Fourth Proportional to 268.69, 403.19 and 166.03

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Solution

The fourth proportional to 268.69, 403.19 and 166.03 is: 249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.69 : 403.19 = 166.03 : x
  2. Step 2: Convert to fraction form
    268.69/403.19 = 166.03/x
  3. Step 3: Cross multiply
    268.69x = 403.19 × 166.03
  4. Step 4: Simplify right side
    268.69x = 66,941.64
  5. Step 5: Solve for x
    x = 66,941.64/268.69
  6. Step 6: Final answer
    x = 249.14

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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.