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Finding the Fourth Proportional to 333.84, 460.54 and 223.36

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Solution

The fourth proportional to 333.84, 460.54 and 223.36 is: 308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.84 : 460.54 = 223.36 : x
  2. Step 2: Convert to fraction form
    333.84/460.54 = 223.36/x
  3. Step 3: Cross multiply
    333.84x = 460.54 × 223.36
  4. Step 4: Simplify right side
    333.84x = 102,864.09
  5. Step 5: Solve for x
    x = 102,864.09/333.84
  6. Step 6: Final answer
    x = 308.13

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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.