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Finding the Fourth Proportional to 432.94, 649.20 and 213.59

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Solution

The fourth proportional to 432.94, 649.20 and 213.59 is: 320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.94 : 649.20 = 213.59 : x
  2. Step 2: Convert to fraction form
    432.94/649.20 = 213.59/x
  3. Step 3: Cross multiply
    432.94x = 649.20 × 213.59
  4. Step 4: Simplify right side
    432.94x = 138,662.63
  5. Step 5: Solve for x
    x = 138,662.63/432.94
  6. Step 6: Final answer
    x = 320.28

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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.