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Finding the Fourth Proportional to 350.52, 483.60 and 219.48

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Solution

The fourth proportional to 350.52, 483.60 and 219.48 is: 302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.52 : 483.60 = 219.48 : x
  2. Step 2: Convert to fraction form
    350.52/483.60 = 219.48/x
  3. Step 3: Cross multiply
    350.52x = 483.60 × 219.48
  4. Step 4: Simplify right side
    350.52x = 106,140.53
  5. Step 5: Solve for x
    x = 106,140.53/350.52
  6. Step 6: Final answer
    x = 302.81

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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.