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Finding the Fourth Proportional to 445.63, 668.71 and 189.13

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Solution

The fourth proportional to 445.63, 668.71 and 189.13 is: 283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.63 : 668.71 = 189.13 : x
  2. Step 2: Convert to fraction form
    445.63/668.71 = 189.13/x
  3. Step 3: Cross multiply
    445.63x = 668.71 × 189.13
  4. Step 4: Simplify right side
    445.63x = 126,473.12
  5. Step 5: Solve for x
    x = 126,473.12/445.63
  6. Step 6: Final answer
    x = 283.81

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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.