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Finding the Fourth Proportional to 433, 649.48 and 108.38

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Solution

The fourth proportional to 433, 649.48 and 108.38 is: 162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    433 : 649.48 = 108.38 : x
  2. Step 2: Convert to fraction form
    433/649.48 = 108.38/x
  3. Step 3: Cross multiply
    433x = 649.48 × 108.38
  4. Step 4: Simplify right side
    433x = 70,390.64
  5. Step 5: Solve for x
    x = 70,390.64/433
  6. Step 6: Final answer
    x = 162.56

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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.