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Finding the Fourth Proportional to 441.75, 662.56 and 117.14

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Solution

The fourth proportional to 441.75, 662.56 and 117.14 is: 175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.75 : 662.56 = 117.14 : x
  2. Step 2: Convert to fraction form
    441.75/662.56 = 117.14/x
  3. Step 3: Cross multiply
    441.75x = 662.56 × 117.14
  4. Step 4: Simplify right side
    441.75x = 77,611.69
  5. Step 5: Solve for x
    x = 77,611.69/441.75
  6. Step 6: Final answer
    x = 175.69

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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.