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Finding the Fourth Proportional to 448.74, 619.25 and 252.27

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Solution

The fourth proportional to 448.74, 619.25 and 252.27 is: 348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.74 : 619.25 = 252.27 : x
  2. Step 2: Convert to fraction form
    448.74/619.25 = 252.27/x
  3. Step 3: Cross multiply
    448.74x = 619.25 × 252.27
  4. Step 4: Simplify right side
    448.74x = 156,216.94
  5. Step 5: Solve for x
    x = 156,216.94/448.74
  6. Step 6: Final answer
    x = 348.12

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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.