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Finding the Fourth Proportional to 299.30, 410.54 and 281.66

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Solution

The fourth proportional to 299.30, 410.54 and 281.66 is: 386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.30 : 410.54 = 281.66 : x
  2. Step 2: Convert to fraction form
    299.30/410.54 = 281.66/x
  3. Step 3: Cross multiply
    299.30x = 410.54 × 281.66
  4. Step 4: Simplify right side
    299.30x = 115,629.24
  5. Step 5: Solve for x
    x = 115,629.24/299.30
  6. Step 6: Final answer
    x = 386.34

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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.