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Finding the Fourth Proportional to 304.62, 419.67 and 290.22

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Solution

The fourth proportional to 304.62, 419.67 and 290.22 is: 399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.62 : 419.67 = 290.22 : x
  2. Step 2: Convert to fraction form
    304.62/419.67 = 290.22/x
  3. Step 3: Cross multiply
    304.62x = 419.67 × 290.22
  4. Step 4: Simplify right side
    304.62x = 121,796.63
  5. Step 5: Solve for x
    x = 121,796.63/304.62
  6. Step 6: Final answer
    x = 399.83

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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.