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Finding the Fourth Proportional to 433.09, 597.96 and 355.33

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Solution

The fourth proportional to 433.09, 597.96 and 355.33 is: 490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.09 : 597.96 = 355.33 : x
  2. Step 2: Convert to fraction form
    433.09/597.96 = 355.33/x
  3. Step 3: Cross multiply
    433.09x = 597.96 × 355.33
  4. Step 4: Simplify right side
    433.09x = 212,468.36
  5. Step 5: Solve for x
    x = 212,468.36/433.09
  6. Step 6: Final answer
    x = 490.59

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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.