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Finding the Fourth Proportional to 333.07, 499.15 and 211.42

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Solution

The fourth proportional to 333.07, 499.15 and 211.42 is: 316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.07 : 499.15 = 211.42 : x
  2. Step 2: Convert to fraction form
    333.07/499.15 = 211.42/x
  3. Step 3: Cross multiply
    333.07x = 499.15 × 211.42
  4. Step 4: Simplify right side
    333.07x = 105,526.74
  5. Step 5: Solve for x
    x = 105,526.74/333.07
  6. Step 6: Final answer
    x = 316.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.