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Finding the Fourth Proportional to 441.12, 608.04 and 309.96

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Solution

The fourth proportional to 441.12, 608.04 and 309.96 is: 427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.12 : 608.04 = 309.96 : x
  2. Step 2: Convert to fraction form
    441.12/608.04 = 309.96/x
  3. Step 3: Cross multiply
    441.12x = 608.04 × 309.96
  4. Step 4: Simplify right side
    441.12x = 188,468.08
  5. Step 5: Solve for x
    x = 188,468.08/441.12
  6. Step 6: Final answer
    x = 427.25

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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.