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Finding the Fourth Proportional to 433.49, 597.58 and 300.44

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Solution

The fourth proportional to 433.49, 597.58 and 300.44 is: 414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.49 : 597.58 = 300.44 : x
  2. Step 2: Convert to fraction form
    433.49/597.58 = 300.44/x
  3. Step 3: Cross multiply
    433.49x = 597.58 × 300.44
  4. Step 4: Simplify right side
    433.49x = 179,537.68
  5. Step 5: Solve for x
    x = 179,537.68/433.49
  6. Step 6: Final answer
    x = 414.17

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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.