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Finding the Fourth Proportional to 446.11, 669.19 and 138.18

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Solution

The fourth proportional to 446.11, 669.19 and 138.18 is: 207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.11 : 669.19 = 138.18 : x
  2. Step 2: Convert to fraction form
    446.11/669.19 = 138.18/x
  3. Step 3: Cross multiply
    446.11x = 669.19 × 138.18
  4. Step 4: Simplify right side
    446.11x = 92,466.34
  5. Step 5: Solve for x
    x = 92,466.34/446.11
  6. Step 6: Final answer
    x = 207.27

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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.