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Finding the Fourth Proportional to 448.46, 619.14 and 323.99

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Solution

The fourth proportional to 448.46, 619.14 and 323.99 is: 447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.46 : 619.14 = 323.99 : x
  2. Step 2: Convert to fraction form
    448.46/619.14 = 323.99/x
  3. Step 3: Cross multiply
    448.46x = 619.14 × 323.99
  4. Step 4: Simplify right side
    448.46x = 200,595.17
  5. Step 5: Solve for x
    x = 200,595.17/448.46
  6. Step 6: Final answer
    x = 447.30

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