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Finding the Fourth Proportional to 448.24, 671.99 and 188.44

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Solution

The fourth proportional to 448.24, 671.99 and 188.44 is: 282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.24 : 671.99 = 188.44 : x
  2. Step 2: Convert to fraction form
    448.24/671.99 = 188.44/x
  3. Step 3: Cross multiply
    448.24x = 671.99 × 188.44
  4. Step 4: Simplify right side
    448.24x = 126,632.54
  5. Step 5: Solve for x
    x = 126,632.54/448.24
  6. Step 6: Final answer
    x = 282.51

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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.