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Finding the Fourth Proportional to 346.22, 477.78 and 190.97

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Solution

The fourth proportional to 346.22, 477.78 and 190.97 is: 263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.22 : 477.78 = 190.97 : x
  2. Step 2: Convert to fraction form
    346.22/477.78 = 190.97/x
  3. Step 3: Cross multiply
    346.22x = 477.78 × 190.97
  4. Step 4: Simplify right side
    346.22x = 91,241.77
  5. Step 5: Solve for x
    x = 91,241.77/346.22
  6. Step 6: Final answer
    x = 263.54

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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.