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Finding the Fourth Proportional to 939.41, 1,409.13 and 290.15

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Solution

The fourth proportional to 939.41, 1,409.13 and 290.15 is: 435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.41 : 1,409.13 = 290.15 : x
  2. Step 2: Convert to fraction form
    939.41/1,409.13 = 290.15/x
  3. Step 3: Cross multiply
    939.41x = 1,409.13 × 290.15
  4. Step 4: Simplify right side
    939.41x = 408,857.31
  5. Step 5: Solve for x
    x = 408,857.31/939.41
  6. Step 6: Final answer
    x = 435.23

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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.