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Finding the Fourth Proportional to 633.21, 949 and 268.23

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Solution

The fourth proportional to 633.21, 949 and 268.23 is: 402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.21 : 949 = 268.23 : x
  2. Step 2: Convert to fraction form
    633.21/949 = 268.23/x
  3. Step 3: Cross multiply
    633.21x = 949 × 268.23
  4. Step 4: Simplify right side
    633.21x = 254,550.27
  5. Step 5: Solve for x
    x = 254,550.27/633.21
  6. Step 6: Final answer
    x = 402.00

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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.