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Finding the Fourth Proportional to 446.85, 670.33 and 138.70

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Solution

The fourth proportional to 446.85, 670.33 and 138.70 is: 208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.85 : 670.33 = 138.70 : x
  2. Step 2: Convert to fraction form
    446.85/670.33 = 138.70/x
  3. Step 3: Cross multiply
    446.85x = 670.33 × 138.70
  4. Step 4: Simplify right side
    446.85x = 92,974.08
  5. Step 5: Solve for x
    x = 92,974.08/446.85
  6. Step 6: Final answer
    x = 208.07

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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.