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Finding the Fourth Proportional to 433.22, 648.45 and 367.61

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Solution

The fourth proportional to 433.22, 648.45 and 367.61 is: 550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.22 : 648.45 = 367.61 : x
  2. Step 2: Convert to fraction form
    433.22/648.45 = 367.61/x
  3. Step 3: Cross multiply
    433.22x = 648.45 × 367.61
  4. Step 4: Simplify right side
    433.22x = 238,373.46
  5. Step 5: Solve for x
    x = 238,373.46/433.22
  6. Step 6: Final answer
    x = 550.24

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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.