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Finding the Fourth Proportional to 322.99, 443.07 and 295.65

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Solution

The fourth proportional to 322.99, 443.07 and 295.65 is: 405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.99 : 443.07 = 295.65 : x
  2. Step 2: Convert to fraction form
    322.99/443.07 = 295.65/x
  3. Step 3: Cross multiply
    322.99x = 443.07 × 295.65
  4. Step 4: Simplify right side
    322.99x = 130,993.65
  5. Step 5: Solve for x
    x = 130,993.65/322.99
  6. Step 6: Final answer
    x = 405.57

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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.