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Finding the Fourth Proportional to 441.94, 662.94 and 117.31

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Solution

The fourth proportional to 441.94, 662.94 and 117.31 is: 175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.94 : 662.94 = 117.31 : x
  2. Step 2: Convert to fraction form
    441.94/662.94 = 117.31/x
  3. Step 3: Cross multiply
    441.94x = 662.94 × 117.31
  4. Step 4: Simplify right side
    441.94x = 77,769.49
  5. Step 5: Solve for x
    x = 77,769.49/441.94
  6. Step 6: Final answer
    x = 175.97

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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.