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Finding the Fourth Proportional to 432.63, 649.07 and 213.32

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Solution

The fourth proportional to 432.63, 649.07 and 213.32 is: 320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.63 : 649.07 = 213.32 : x
  2. Step 2: Convert to fraction form
    432.63/649.07 = 213.32/x
  3. Step 3: Cross multiply
    432.63x = 649.07 × 213.32
  4. Step 4: Simplify right side
    432.63x = 138,457.73
  5. Step 5: Solve for x
    x = 138,457.73/432.63
  6. Step 6: Final answer
    x = 320.04

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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.