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Finding the Fourth Proportional to 294.54, 404.09 and 287.34

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Solution

The fourth proportional to 294.54, 404.09 and 287.34 is: 394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.54 : 404.09 = 287.34 : x
  2. Step 2: Convert to fraction form
    294.54/404.09 = 287.34/x
  3. Step 3: Cross multiply
    294.54x = 404.09 × 287.34
  4. Step 4: Simplify right side
    294.54x = 116,109.78
  5. Step 5: Solve for x
    x = 116,109.78/294.54
  6. Step 6: Final answer
    x = 394.21

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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.