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Finding the Fourth Proportional to 322.04, 443.81 and 295.85

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Solution

The fourth proportional to 322.04, 443.81 and 295.85 is: 407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.04 : 443.81 = 295.85 : x
  2. Step 2: Convert to fraction form
    322.04/443.81 = 295.85/x
  3. Step 3: Cross multiply
    322.04x = 443.81 × 295.85
  4. Step 4: Simplify right side
    322.04x = 131,303.04
  5. Step 5: Solve for x
    x = 131,303.04/322.04
  6. Step 6: Final answer
    x = 407.72

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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.