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Finding the Fourth Proportional to 301.67, 416.43 and 219.18

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Solution

The fourth proportional to 301.67, 416.43 and 219.18 is: 302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.67 : 416.43 = 219.18 : x
  2. Step 2: Convert to fraction form
    301.67/416.43 = 219.18/x
  3. Step 3: Cross multiply
    301.67x = 416.43 × 219.18
  4. Step 4: Simplify right side
    301.67x = 91,273.13
  5. Step 5: Solve for x
    x = 91,273.13/301.67
  6. Step 6: Final answer
    x = 302.56

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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.