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Finding the Fourth Proportional to 446.05, 669.00 and 121.34

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Solution

The fourth proportional to 446.05, 669.00 and 121.34 is: 181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.05 : 669.00 = 121.34 : x
  2. Step 2: Convert to fraction form
    446.05/669.00 = 121.34/x
  3. Step 3: Cross multiply
    446.05x = 669.00 × 121.34
  4. Step 4: Simplify right side
    446.05x = 81,176.36
  5. Step 5: Solve for x
    x = 81,176.36/446.05
  6. Step 6: Final answer
    x = 181.99

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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.