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Finding the Fourth Proportional to 304, 416.75 and 287.80

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Solution

The fourth proportional to 304, 416.75 and 287.80 is: 394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    304 : 416.75 = 287.80 : x
  2. Step 2: Convert to fraction form
    304/416.75 = 287.80/x
  3. Step 3: Cross multiply
    304x = 416.75 × 287.80
  4. Step 4: Simplify right side
    304x = 119,940.65
  5. Step 5: Solve for x
    x = 119,940.65/304
  6. Step 6: Final answer
    x = 394.54

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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.