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Finding the Fourth Proportional to 320.36, 441.96 and 189.14

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Solution

The fourth proportional to 320.36, 441.96 and 189.14 is: 260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.36 : 441.96 = 189.14 : x
  2. Step 2: Convert to fraction form
    320.36/441.96 = 189.14/x
  3. Step 3: Cross multiply
    320.36x = 441.96 × 189.14
  4. Step 4: Simplify right side
    320.36x = 83,589.40
  5. Step 5: Solve for x
    x = 83,589.40/320.36
  6. Step 6: Final answer
    x = 260.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.