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Finding the Fourth Proportional to 448.82, 619.48 and 323.12

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Solution

The fourth proportional to 448.82, 619.48 and 323.12 is: 445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.82 : 619.48 = 323.12 : x
  2. Step 2: Convert to fraction form
    448.82/619.48 = 323.12/x
  3. Step 3: Cross multiply
    448.82x = 619.48 × 323.12
  4. Step 4: Simplify right side
    448.82x = 200,166.38
  5. Step 5: Solve for x
    x = 200,166.38/448.82
  6. Step 6: Final answer
    x = 445.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.