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Finding the Fourth Proportional to 416.09, 573.89 and 275.99

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Solution

The fourth proportional to 416.09, 573.89 and 275.99 is: 380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.09 : 573.89 = 275.99 : x
  2. Step 2: Convert to fraction form
    416.09/573.89 = 275.99/x
  3. Step 3: Cross multiply
    416.09x = 573.89 × 275.99
  4. Step 4: Simplify right side
    416.09x = 158,383.65
  5. Step 5: Solve for x
    x = 158,383.65/416.09
  6. Step 6: Final answer
    x = 380.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.