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Finding the Fourth Proportional to 349.23, 481.71 and 216.48

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Solution

The fourth proportional to 349.23, 481.71 and 216.48 is: 298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.23 : 481.71 = 216.48 : x
  2. Step 2: Convert to fraction form
    349.23/481.71 = 216.48/x
  3. Step 3: Cross multiply
    349.23x = 481.71 × 216.48
  4. Step 4: Simplify right side
    349.23x = 104,280.58
  5. Step 5: Solve for x
    x = 104,280.58/349.23
  6. Step 6: Final answer
    x = 298.60

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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.