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Finding the Fourth Proportional to 333.35, 460.07 and 209.13

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Solution

The fourth proportional to 333.35, 460.07 and 209.13 is: 288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.35 : 460.07 = 209.13 : x
  2. Step 2: Convert to fraction form
    333.35/460.07 = 209.13/x
  3. Step 3: Cross multiply
    333.35x = 460.07 × 209.13
  4. Step 4: Simplify right side
    333.35x = 96,214.44
  5. Step 5: Solve for x
    x = 96,214.44/333.35
  6. Step 6: Final answer
    x = 288.63

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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.