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Finding the Fourth Proportional to 325.98, 446.94 and 320.16

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Solution

The fourth proportional to 325.98, 446.94 and 320.16 is: 438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.98 : 446.94 = 320.16 : x
  2. Step 2: Convert to fraction form
    325.98/446.94 = 320.16/x
  3. Step 3: Cross multiply
    325.98x = 446.94 × 320.16
  4. Step 4: Simplify right side
    325.98x = 143,092.31
  5. Step 5: Solve for x
    x = 143,092.31/325.98
  6. Step 6: Final answer
    x = 438.96

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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.