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Finding the Fourth Proportional to 433.05, 649.79 and 213.81

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Solution

The fourth proportional to 433.05, 649.79 and 213.81 is: 320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.05 : 649.79 = 213.81 : x
  2. Step 2: Convert to fraction form
    433.05/649.79 = 213.81/x
  3. Step 3: Cross multiply
    433.05x = 649.79 × 213.81
  4. Step 4: Simplify right side
    433.05x = 138,931.60
  5. Step 5: Solve for x
    x = 138,931.60/433.05
  6. Step 6: Final answer
    x = 320.82

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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.