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Finding the Fourth Proportional to 432.24, 648.28 and 226.16

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Solution

The fourth proportional to 432.24, 648.28 and 226.16 is: 339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.24 : 648.28 = 226.16 : x
  2. Step 2: Convert to fraction form
    432.24/648.28 = 226.16/x
  3. Step 3: Cross multiply
    432.24x = 648.28 × 226.16
  4. Step 4: Simplify right side
    432.24x = 146,615.00
  5. Step 5: Solve for x
    x = 146,615.00/432.24
  6. Step 6: Final answer
    x = 339.20

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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.