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Finding the Fourth Proportional to 321.78, 444 and 190.86

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Solution

The fourth proportional to 321.78, 444 and 190.86 is: 263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.78 : 444 = 190.86 : x
  2. Step 2: Convert to fraction form
    321.78/444 = 190.86/x
  3. Step 3: Cross multiply
    321.78x = 444 × 190.86
  4. Step 4: Simplify right side
    321.78x = 84,741.84
  5. Step 5: Solve for x
    x = 84,741.84/321.78
  6. Step 6: Final answer
    x = 263.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.