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Finding the Fourth Proportional to 223.54, 333.78 and 186.64

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Solution

The fourth proportional to 223.54, 333.78 and 186.64 is: 278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.54 : 333.78 = 186.64 : x
  2. Step 2: Convert to fraction form
    223.54/333.78 = 186.64/x
  3. Step 3: Cross multiply
    223.54x = 333.78 × 186.64
  4. Step 4: Simplify right side
    223.54x = 62,296.70
  5. Step 5: Solve for x
    x = 62,296.70/223.54
  6. Step 6: Final answer
    x = 278.68

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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.