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Finding the Fourth Proportional to 492.22, 738.33 and 218.24

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Solution

The fourth proportional to 492.22, 738.33 and 218.24 is: 327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.22 : 738.33 = 218.24 : x
  2. Step 2: Convert to fraction form
    492.22/738.33 = 218.24/x
  3. Step 3: Cross multiply
    492.22x = 738.33 × 218.24
  4. Step 4: Simplify right side
    492.22x = 161,128.36
  5. Step 5: Solve for x
    x = 161,128.36/492.22
  6. Step 6: Final answer
    x = 327.35

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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.