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Finding the Fourth Proportional to 333.84, 460.45 and 223.12

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Solution

The fourth proportional to 333.84, 460.45 and 223.12 is: 307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.84 : 460.45 = 223.12 : x
  2. Step 2: Convert to fraction form
    333.84/460.45 = 223.12/x
  3. Step 3: Cross multiply
    333.84x = 460.45 × 223.12
  4. Step 4: Simplify right side
    333.84x = 102,736.46
  5. Step 5: Solve for x
    x = 102,736.46/333.84
  6. Step 6: Final answer
    x = 307.74

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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.