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Finding the Fourth Proportional to 303.96, 416.91 and 281.28

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Solution

The fourth proportional to 303.96, 416.91 and 281.28 is: 385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.96 : 416.91 = 281.28 : x
  2. Step 2: Convert to fraction form
    303.96/416.91 = 281.28/x
  3. Step 3: Cross multiply
    303.96x = 416.91 × 281.28
  4. Step 4: Simplify right side
    303.96x = 117,268.44
  5. Step 5: Solve for x
    x = 117,268.44/303.96
  6. Step 6: Final answer
    x = 385.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.