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Finding the Fourth Proportional to 446.90, 670.23 and 300.57

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Solution

The fourth proportional to 446.90, 670.23 and 300.57 is: 450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.90 : 670.23 = 300.57 : x
  2. Step 2: Convert to fraction form
    446.90/670.23 = 300.57/x
  3. Step 3: Cross multiply
    446.90x = 670.23 × 300.57
  4. Step 4: Simplify right side
    446.90x = 201,448.52
  5. Step 5: Solve for x
    x = 201,448.52/446.90
  6. Step 6: Final answer
    x = 450.77

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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.