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Finding the Fourth Proportional to 320.25, 441.75 and 189.30

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Solution

The fourth proportional to 320.25, 441.75 and 189.30 is: 261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.25 : 441.75 = 189.30 : x
  2. Step 2: Convert to fraction form
    320.25/441.75 = 189.30/x
  3. Step 3: Cross multiply
    320.25x = 441.75 × 189.30
  4. Step 4: Simplify right side
    320.25x = 83,623.28
  5. Step 5: Solve for x
    x = 83,623.28/320.25
  6. Step 6: Final answer
    x = 261.12

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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.