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Finding the Fourth Proportional to 446.21, 669.09 and 138.00

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Solution

The fourth proportional to 446.21, 669.09 and 138.00 is: 206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.21 : 669.09 = 138.00 : x
  2. Step 2: Convert to fraction form
    446.21/669.09 = 138.00/x
  3. Step 3: Cross multiply
    446.21x = 669.09 × 138.00
  4. Step 4: Simplify right side
    446.21x = 92,337.45
  5. Step 5: Solve for x
    x = 92,337.45/446.21
  6. Step 6: Final answer
    x = 206.94

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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.