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Finding the Fourth Proportional to 335.40, 462.61 and 223.41

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Solution

The fourth proportional to 335.40, 462.61 and 223.41 is: 308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.40 : 462.61 = 223.41 : x
  2. Step 2: Convert to fraction form
    335.40/462.61 = 223.41/x
  3. Step 3: Cross multiply
    335.40x = 462.61 × 223.41
  4. Step 4: Simplify right side
    335.40x = 103,351.70
  5. Step 5: Solve for x
    x = 103,351.70/335.40
  6. Step 6: Final answer
    x = 308.14

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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.