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Finding the Fourth Proportional to 432.78, 649.43 and 227.49

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Solution

The fourth proportional to 432.78, 649.43 and 227.49 is: 341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.78 : 649.43 = 227.49 : x
  2. Step 2: Convert to fraction form
    432.78/649.43 = 227.49/x
  3. Step 3: Cross multiply
    432.78x = 649.43 × 227.49
  4. Step 4: Simplify right side
    432.78x = 147,739.76
  5. Step 5: Solve for x
    x = 147,739.76/432.78
  6. Step 6: Final answer
    x = 341.38

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Double scale
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Similar ratio
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1.5x scale

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.