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Finding the Fourth Proportional to 437.49, 654.94 and 300.27

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Solution

The fourth proportional to 437.49, 654.94 and 300.27 is: 449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.49 : 654.94 = 300.27 : x
  2. Step 2: Convert to fraction form
    437.49/654.94 = 300.27/x
  3. Step 3: Cross multiply
    437.49x = 654.94 × 300.27
  4. Step 4: Simplify right side
    437.49x = 196,658.83
  5. Step 5: Solve for x
    x = 196,658.83/437.49
  6. Step 6: Final answer
    x = 449.52

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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.