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Finding the Fourth Proportional to 325.80, 490.44 and 292.32

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Solution

The fourth proportional to 325.80, 490.44 and 292.32 is: 440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.80 : 490.44 = 292.32 : x
  2. Step 2: Convert to fraction form
    325.80/490.44 = 292.32/x
  3. Step 3: Cross multiply
    325.80x = 490.44 × 292.32
  4. Step 4: Simplify right side
    325.80x = 143,365.42
  5. Step 5: Solve for x
    x = 143,365.42/325.80
  6. Step 6: Final answer
    x = 440.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.