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Finding the Fourth Proportional to 325.96, 488.86 and 189.26

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Solution

The fourth proportional to 325.96, 488.86 and 189.26 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.96 : 488.86 = 189.26 : x
  2. Step 2: Convert to fraction form
    325.96/488.86 = 189.26/x
  3. Step 3: Cross multiply
    325.96x = 488.86 × 189.26
  4. Step 4: Simplify right side
    325.96x = 92,521.64
  5. Step 5: Solve for x
    x = 92,521.64/325.96
  6. Step 6: Final answer
    x = 283.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.