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Finding the Fourth Proportional to 448, 671.94 and 204.46

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Solution

The fourth proportional to 448, 671.94 and 204.46 is: 306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    448 : 671.94 = 204.46 : x
  2. Step 2: Convert to fraction form
    448/671.94 = 204.46/x
  3. Step 3: Cross multiply
    448x = 671.94 × 204.46
  4. Step 4: Simplify right side
    448x = 137,384.85
  5. Step 5: Solve for x
    x = 137,384.85/448
  6. Step 6: Final answer
    x = 306.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.