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Finding the Fourth Proportional to 277.03, 414.99 and 161.13

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Solution

The fourth proportional to 277.03, 414.99 and 161.13 is: 241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.03 : 414.99 = 161.13 : x
  2. Step 2: Convert to fraction form
    277.03/414.99 = 161.13/x
  3. Step 3: Cross multiply
    277.03x = 414.99 × 161.13
  4. Step 4: Simplify right side
    277.03x = 66,867.34
  5. Step 5: Solve for x
    x = 66,867.34/277.03
  6. Step 6: Final answer
    x = 241.37

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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.