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Finding the Fourth Proportional to 446.90, 670.26 and 138.68

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Solution

The fourth proportional to 446.90, 670.26 and 138.68 is: 207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.90 : 670.26 = 138.68 : x
  2. Step 2: Convert to fraction form
    446.90/670.26 = 138.68/x
  3. Step 3: Cross multiply
    446.90x = 670.26 × 138.68
  4. Step 4: Simplify right side
    446.90x = 92,951.66
  5. Step 5: Solve for x
    x = 92,951.66/446.90
  6. Step 6: Final answer
    x = 207.99

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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.