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Finding the Fourth Proportional to 433.26, 597.82 and 256.22

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Solution

The fourth proportional to 433.26, 597.82 and 256.22 is: 353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.26 : 597.82 = 256.22 : x
  2. Step 2: Convert to fraction form
    433.26/597.82 = 256.22/x
  3. Step 3: Cross multiply
    433.26x = 597.82 × 256.22
  4. Step 4: Simplify right side
    433.26x = 153,173.44
  5. Step 5: Solve for x
    x = 153,173.44/433.26
  6. Step 6: Final answer
    x = 353.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.