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Finding the Fourth Proportional to 333.53, 460.43 and 209.39

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Solution

The fourth proportional to 333.53, 460.43 and 209.39 is: 289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.53 : 460.43 = 209.39 : x
  2. Step 2: Convert to fraction form
    333.53/460.43 = 209.39/x
  3. Step 3: Cross multiply
    333.53x = 460.43 × 209.39
  4. Step 4: Simplify right side
    333.53x = 96,408.05
  5. Step 5: Solve for x
    x = 96,408.05/333.53
  6. Step 6: Final answer
    x = 289.05

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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.