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Finding the Fourth Proportional to 301.75, 416.73 and 223.99

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Solution

The fourth proportional to 301.75, 416.73 and 223.99 is: 309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.75 : 416.73 = 223.99 : x
  2. Step 2: Convert to fraction form
    301.75/416.73 = 223.99/x
  3. Step 3: Cross multiply
    301.75x = 416.73 × 223.99
  4. Step 4: Simplify right side
    301.75x = 93,343.35
  5. Step 5: Solve for x
    x = 93,343.35/301.75
  6. Step 6: Final answer
    x = 309.34

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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.