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Finding the Fourth Proportional to 333.36, 460.17 and 222.80

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Solution

The fourth proportional to 333.36, 460.17 and 222.80 is: 307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.36 : 460.17 = 222.80 : x
  2. Step 2: Convert to fraction form
    333.36/460.17 = 222.80/x
  3. Step 3: Cross multiply
    333.36x = 460.17 × 222.80
  4. Step 4: Simplify right side
    333.36x = 102,523.58
  5. Step 5: Solve for x
    x = 102,523.58/333.36
  6. Step 6: Final answer
    x = 307.55

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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.