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Finding the Fourth Proportional to 634.07, 950.81 and 223.00

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Solution

The fourth proportional to 634.07, 950.81 and 223.00 is: 334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.07 : 950.81 = 223.00 : x
  2. Step 2: Convert to fraction form
    634.07/950.81 = 223.00/x
  3. Step 3: Cross multiply
    634.07x = 950.81 × 223.00
  4. Step 4: Simplify right side
    634.07x = 212,027.14
  5. Step 5: Solve for x
    x = 212,027.14/634.07
  6. Step 6: Final answer
    x = 334.39

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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.