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Finding the Fourth Proportional to 325.06, 485.83 and 299.11

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Solution

The fourth proportional to 325.06, 485.83 and 299.11 is: 447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.06 : 485.83 = 299.11 : x
  2. Step 2: Convert to fraction form
    325.06/485.83 = 299.11/x
  3. Step 3: Cross multiply
    325.06x = 485.83 × 299.11
  4. Step 4: Simplify right side
    325.06x = 145,314.65
  5. Step 5: Solve for x
    x = 145,314.65/325.06
  6. Step 6: Final answer
    x = 447.04

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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.