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Finding the Fourth Proportional to 432.68, 649.36 and 227.36

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Solution

The fourth proportional to 432.68, 649.36 and 227.36 is: 341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.68 : 649.36 = 227.36 : x
  2. Step 2: Convert to fraction form
    432.68/649.36 = 227.36/x
  3. Step 3: Cross multiply
    432.68x = 649.36 × 227.36
  4. Step 4: Simplify right side
    432.68x = 147,640.36
  5. Step 5: Solve for x
    x = 147,640.36/432.68
  6. Step 6: Final answer
    x = 341.23

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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.