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Finding the Fourth Proportional to 940.38, 1,410.54 and 290.94

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Solution

The fourth proportional to 940.38, 1,410.54 and 290.94 is: 436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.38 : 1,410.54 = 290.94 : x
  2. Step 2: Convert to fraction form
    940.38/1,410.54 = 290.94/x
  3. Step 3: Cross multiply
    940.38x = 1,410.54 × 290.94
  4. Step 4: Simplify right side
    940.38x = 410,382.51
  5. Step 5: Solve for x
    x = 410,382.51/940.38
  6. Step 6: Final answer
    x = 436.40

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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.