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Finding the Fourth Proportional to 325.71, 447.06 and 288.24

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Solution

The fourth proportional to 325.71, 447.06 and 288.24 is: 395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.71 : 447.06 = 288.24 : x
  2. Step 2: Convert to fraction form
    325.71/447.06 = 288.24/x
  3. Step 3: Cross multiply
    325.71x = 447.06 × 288.24
  4. Step 4: Simplify right side
    325.71x = 128,860.57
  5. Step 5: Solve for x
    x = 128,860.57/325.71
  6. Step 6: Final answer
    x = 395.63

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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.