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Finding the Fourth Proportional to 446.29, 669.36 and 121.59

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Solution

The fourth proportional to 446.29, 669.36 and 121.59 is: 182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.29 : 669.36 = 121.59 : x
  2. Step 2: Convert to fraction form
    446.29/669.36 = 121.59/x
  3. Step 3: Cross multiply
    446.29x = 669.36 × 121.59
  4. Step 4: Simplify right side
    446.29x = 81,387.48
  5. Step 5: Solve for x
    x = 81,387.48/446.29
  6. Step 6: Final answer
    x = 182.36

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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.