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Finding the Fourth Proportional to 504.22, 755.22 and 229.90

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Solution

The fourth proportional to 504.22, 755.22 and 229.90 is: 344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.22 : 755.22 = 229.90 : x
  2. Step 2: Convert to fraction form
    504.22/755.22 = 229.90/x
  3. Step 3: Cross multiply
    504.22x = 755.22 × 229.90
  4. Step 4: Simplify right side
    504.22x = 173,625.08
  5. Step 5: Solve for x
    x = 173,625.08/504.22
  6. Step 6: Final answer
    x = 344.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.