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Finding the Fourth Proportional to 333.75, 460.71 and 209.38

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Solution

The fourth proportional to 333.75, 460.71 and 209.38 is: 289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.75 : 460.71 = 209.38 : x
  2. Step 2: Convert to fraction form
    333.75/460.71 = 209.38/x
  3. Step 3: Cross multiply
    333.75x = 460.71 × 209.38
  4. Step 4: Simplify right side
    333.75x = 96,463.46
  5. Step 5: Solve for x
    x = 96,463.46/333.75
  6. Step 6: Final answer
    x = 289.03

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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.