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Finding the Fourth Proportional to 301.62, 412.41 and 290.28

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Solution

The fourth proportional to 301.62, 412.41 and 290.28 is: 396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.62 : 412.41 = 290.28 : x
  2. Step 2: Convert to fraction form
    301.62/412.41 = 290.28/x
  3. Step 3: Cross multiply
    301.62x = 412.41 × 290.28
  4. Step 4: Simplify right side
    301.62x = 119,714.37
  5. Step 5: Solve for x
    x = 119,714.37/301.62
  6. Step 6: Final answer
    x = 396.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.