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Finding the Fourth Proportional to 320, 441.76 and 300.80

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Solution

The fourth proportional to 320, 441.76 and 300.80 is: 415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320 : 441.76 = 300.80 : x
  2. Step 2: Convert to fraction form
    320/441.76 = 300.80/x
  3. Step 3: Cross multiply
    320x = 441.76 × 300.80
  4. Step 4: Simplify right side
    320x = 132,881.41
  5. Step 5: Solve for x
    x = 132,881.41/320
  6. Step 6: Final answer
    x = 415.25

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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.