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Finding the Fourth Proportional to 378.44, 522.25 and 221.10

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Solution

The fourth proportional to 378.44, 522.25 and 221.10 is: 305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.44 : 522.25 = 221.10 : x
  2. Step 2: Convert to fraction form
    378.44/522.25 = 221.10/x
  3. Step 3: Cross multiply
    378.44x = 522.25 × 221.10
  4. Step 4: Simplify right side
    378.44x = 115,466.96
  5. Step 5: Solve for x
    x = 115,466.96/378.44
  6. Step 6: Final answer
    x = 305.11

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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.