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Finding the Fourth Proportional to 448.48, 619.02 and 262.12

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Solution

The fourth proportional to 448.48, 619.02 and 262.12 is: 361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.48 : 619.02 = 262.12 : x
  2. Step 2: Convert to fraction form
    448.48/619.02 = 262.12/x
  3. Step 3: Cross multiply
    448.48x = 619.02 × 262.12
  4. Step 4: Simplify right side
    448.48x = 162,257.52
  5. Step 5: Solve for x
    x = 162,257.52/448.48
  6. Step 6: Final answer
    x = 361.79

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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.