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Finding the Fourth Proportional to 584.09, 876.23 and 199.25

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Solution

The fourth proportional to 584.09, 876.23 and 199.25 is: 298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.09 : 876.23 = 199.25 : x
  2. Step 2: Convert to fraction form
    584.09/876.23 = 199.25/x
  3. Step 3: Cross multiply
    584.09x = 876.23 × 199.25
  4. Step 4: Simplify right side
    584.09x = 174,588.83
  5. Step 5: Solve for x
    x = 174,588.83/584.09
  6. Step 6: Final answer
    x = 298.91

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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.