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Finding the Fourth Proportional to 325.76, 447.09 and 289.98

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Solution

The fourth proportional to 325.76, 447.09 and 289.98 is: 397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.76 : 447.09 = 289.98 : x
  2. Step 2: Convert to fraction form
    325.76/447.09 = 289.98/x
  3. Step 3: Cross multiply
    325.76x = 447.09 × 289.98
  4. Step 4: Simplify right side
    325.76x = 129,646.07
  5. Step 5: Solve for x
    x = 129,646.07/325.76
  6. Step 6: Final answer
    x = 397.99

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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.