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Finding the Fourth Proportional to 325.66, 447.01 and 287.99

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Solution

The fourth proportional to 325.66, 447.01 and 287.99 is: 395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.66 : 447.01 = 287.99 : x
  2. Step 2: Convert to fraction form
    325.66/447.01 = 287.99/x
  3. Step 3: Cross multiply
    325.66x = 447.01 × 287.99
  4. Step 4: Simplify right side
    325.66x = 128,734.41
  5. Step 5: Solve for x
    x = 128,734.41/325.66
  6. Step 6: Final answer
    x = 395.30

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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.