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Finding the Fourth Proportional to 433.25, 649.19 and 238.08

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Solution

The fourth proportional to 433.25, 649.19 and 238.08 is: 356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.25 : 649.19 = 238.08 : x
  2. Step 2: Convert to fraction form
    433.25/649.19 = 238.08/x
  3. Step 3: Cross multiply
    433.25x = 649.19 × 238.08
  4. Step 4: Simplify right side
    433.25x = 154,559.75
  5. Step 5: Solve for x
    x = 154,559.75/433.25
  6. Step 6: Final answer
    x = 356.75

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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.