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Finding the Fourth Proportional to 432.76, 649.48 and 201.92

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Solution

The fourth proportional to 432.76, 649.48 and 201.92 is: 303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.76 : 649.48 = 201.92 : x
  2. Step 2: Convert to fraction form
    432.76/649.48 = 201.92/x
  3. Step 3: Cross multiply
    432.76x = 649.48 × 201.92
  4. Step 4: Simplify right side
    432.76x = 131,143.00
  5. Step 5: Solve for x
    x = 131,143.00/432.76
  6. Step 6: Final answer
    x = 303.04

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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.