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Finding the Fourth Proportional to 277.11, 379.63 and 266.72

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Solution

The fourth proportional to 277.11, 379.63 and 266.72 is: 365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.11 : 379.63 = 266.72 : x
  2. Step 2: Convert to fraction form
    277.11/379.63 = 266.72/x
  3. Step 3: Cross multiply
    277.11x = 379.63 × 266.72
  4. Step 4: Simplify right side
    277.11x = 101,255.33
  5. Step 5: Solve for x
    x = 101,255.33/277.11
  6. Step 6: Final answer
    x = 365.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.