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Finding the Fourth Proportional to 218.46, 325.83 and 186.18

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Solution

The fourth proportional to 218.46, 325.83 and 186.18 is: 277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.46 : 325.83 = 186.18 : x
  2. Step 2: Convert to fraction form
    218.46/325.83 = 186.18/x
  3. Step 3: Cross multiply
    218.46x = 325.83 × 186.18
  4. Step 4: Simplify right side
    218.46x = 60,663.03
  5. Step 5: Solve for x
    x = 60,663.03/218.46
  6. Step 6: Final answer
    x = 277.68

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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.