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Finding the Fourth Proportional to 301.80, 416.22 and 214.48

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Solution

The fourth proportional to 301.80, 416.22 and 214.48 is: 295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.80 : 416.22 = 214.48 : x
  2. Step 2: Convert to fraction form
    301.80/416.22 = 214.48/x
  3. Step 3: Cross multiply
    301.80x = 416.22 × 214.48
  4. Step 4: Simplify right side
    301.80x = 89,270.87
  5. Step 5: Solve for x
    x = 89,270.87/301.80
  6. Step 6: Final answer
    x = 295.79

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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.