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Finding the Fourth Proportional to 335.83, 500.96 and 301.21

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Solution

The fourth proportional to 335.83, 500.96 and 301.21 is: 449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.83 : 500.96 = 301.21 : x
  2. Step 2: Convert to fraction form
    335.83/500.96 = 301.21/x
  3. Step 3: Cross multiply
    335.83x = 500.96 × 301.21
  4. Step 4: Simplify right side
    335.83x = 150,894.16
  5. Step 5: Solve for x
    x = 150,894.16/335.83
  6. Step 6: Final answer
    x = 449.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.