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Finding the Fourth Proportional to 441.05, 607.50 and 309.83

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Solution

The fourth proportional to 441.05, 607.50 and 309.83 is: 426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.05 : 607.50 = 309.83 : x
  2. Step 2: Convert to fraction form
    441.05/607.50 = 309.83/x
  3. Step 3: Cross multiply
    441.05x = 607.50 × 309.83
  4. Step 4: Simplify right side
    441.05x = 188,218.69
  5. Step 5: Solve for x
    x = 188,218.69/441.05
  6. Step 6: Final answer
    x = 426.76

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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.