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Finding the Fourth Proportional to 350.22, 483.53 and 219.42

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Solution

The fourth proportional to 350.22, 483.53 and 219.42 is: 302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.22 : 483.53 = 219.42 : x
  2. Step 2: Convert to fraction form
    350.22/483.53 = 219.42/x
  3. Step 3: Cross multiply
    350.22x = 483.53 × 219.42
  4. Step 4: Simplify right side
    350.22x = 106,096.15
  5. Step 5: Solve for x
    x = 106,096.15/350.22
  6. Step 6: Final answer
    x = 302.94

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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.