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Finding the Fourth Proportional to 492.22, 736.73 and 377.10

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Solution

The fourth proportional to 492.22, 736.73 and 377.10 is: 564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.22 : 736.73 = 377.10 : x
  2. Step 2: Convert to fraction form
    492.22/736.73 = 377.10/x
  3. Step 3: Cross multiply
    492.22x = 736.73 × 377.10
  4. Step 4: Simplify right side
    492.22x = 277,820.88
  5. Step 5: Solve for x
    x = 277,820.88/492.22
  6. Step 6: Final answer
    x = 564.42

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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.