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Finding the Fourth Proportional to 448.28, 672.46 and 170.56

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Solution

The fourth proportional to 448.28, 672.46 and 170.56 is: 255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.28 : 672.46 = 170.56 : x
  2. Step 2: Convert to fraction form
    448.28/672.46 = 170.56/x
  3. Step 3: Cross multiply
    448.28x = 672.46 × 170.56
  4. Step 4: Simplify right side
    448.28x = 114,696.03
  5. Step 5: Solve for x
    x = 114,696.03/448.28
  6. Step 6: Final answer
    x = 255.86

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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.