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Finding the Fourth Proportional to 333.58, 460.30 and 223.09

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Solution

The fourth proportional to 333.58, 460.30 and 223.09 is: 307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.58 : 460.30 = 223.09 : x
  2. Step 2: Convert to fraction form
    333.58/460.30 = 223.09/x
  3. Step 3: Cross multiply
    333.58x = 460.30 × 223.09
  4. Step 4: Simplify right side
    333.58x = 102,688.33
  5. Step 5: Solve for x
    x = 102,688.33/333.58
  6. Step 6: Final answer
    x = 307.84

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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.