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Finding the Fourth Proportional to 432.04, 648.33 and 226.84

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Solution

The fourth proportional to 432.04, 648.33 and 226.84 is: 340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.04 : 648.33 = 226.84 : x
  2. Step 2: Convert to fraction form
    432.04/648.33 = 226.84/x
  3. Step 3: Cross multiply
    432.04x = 648.33 × 226.84
  4. Step 4: Simplify right side
    432.04x = 147,067.18
  5. Step 5: Solve for x
    x = 147,067.18/432.04
  6. Step 6: Final answer
    x = 340.40

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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.