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Finding the Fourth Proportional to 432.95, 649.62 and 213.23

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Solution

The fourth proportional to 432.95, 649.62 and 213.23 is: 319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.95 : 649.62 = 213.23 : x
  2. Step 2: Convert to fraction form
    432.95/649.62 = 213.23/x
  3. Step 3: Cross multiply
    432.95x = 649.62 × 213.23
  4. Step 4: Simplify right side
    432.95x = 138,520.10
  5. Step 5: Solve for x
    x = 138,520.10/432.95
  6. Step 6: Final answer
    x = 319.95

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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.