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Finding the Fourth Proportional to 218.77, 326.77 and 186.11

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Solution

The fourth proportional to 218.77, 326.77 and 186.11 is: 277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.77 : 326.77 = 186.11 : x
  2. Step 2: Convert to fraction form
    218.77/326.77 = 186.11/x
  3. Step 3: Cross multiply
    218.77x = 326.77 × 186.11
  4. Step 4: Simplify right side
    218.77x = 60,814.29
  5. Step 5: Solve for x
    x = 60,814.29/218.77
  6. Step 6: Final answer
    x = 277.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.