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Finding the Fourth Proportional to 940.04, 1,409.61 and 281.66

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Solution

The fourth proportional to 940.04, 1,409.61 and 281.66 is: 422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.04 : 1,409.61 = 281.66 : x
  2. Step 2: Convert to fraction form
    940.04/1,409.61 = 281.66/x
  3. Step 3: Cross multiply
    940.04x = 1,409.61 × 281.66
  4. Step 4: Simplify right side
    940.04x = 397,035.33
  5. Step 5: Solve for x
    x = 397,035.33/940.04
  6. Step 6: Final answer
    x = 422.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.