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Finding the Fourth Proportional to 333.88, 501.23 and 212.65

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Solution

The fourth proportional to 333.88, 501.23 and 212.65 is: 319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.88 : 501.23 = 212.65 : x
  2. Step 2: Convert to fraction form
    333.88/501.23 = 212.65/x
  3. Step 3: Cross multiply
    333.88x = 501.23 × 212.65
  4. Step 4: Simplify right side
    333.88x = 106,586.56
  5. Step 5: Solve for x
    x = 106,586.56/333.88
  6. Step 6: Final answer
    x = 319.24

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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.