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Finding the Fourth Proportional to 333.87, 501.23 and 211.71

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Solution

The fourth proportional to 333.87, 501.23 and 211.71 is: 317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.87 : 501.23 = 211.71 : x
  2. Step 2: Convert to fraction form
    333.87/501.23 = 211.71/x
  3. Step 3: Cross multiply
    333.87x = 501.23 × 211.71
  4. Step 4: Simplify right side
    333.87x = 106,114.34
  5. Step 5: Solve for x
    x = 106,114.34/333.87
  6. Step 6: Final answer
    x = 317.83

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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.