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Finding the Fourth Proportional to 325.58, 446.85 and 289.80

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Solution

The fourth proportional to 325.58, 446.85 and 289.80 is: 397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.58 : 446.85 = 289.80 : x
  2. Step 2: Convert to fraction form
    325.58/446.85 = 289.80/x
  3. Step 3: Cross multiply
    325.58x = 446.85 × 289.80
  4. Step 4: Simplify right side
    325.58x = 129,497.13
  5. Step 5: Solve for x
    x = 129,497.13/325.58
  6. Step 6: Final answer
    x = 397.75

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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.