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Finding the Fourth Proportional to 277.80, 416.38 and 186.56

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Solution

The fourth proportional to 277.80, 416.38 and 186.56 is: 279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.80 : 416.38 = 186.56 : x
  2. Step 2: Convert to fraction form
    277.80/416.38 = 186.56/x
  3. Step 3: Cross multiply
    277.80x = 416.38 × 186.56
  4. Step 4: Simplify right side
    277.80x = 77,679.85
  5. Step 5: Solve for x
    x = 77,679.85/277.80
  6. Step 6: Final answer
    x = 279.63

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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.