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Finding the Fourth Proportional to 280.97, 387.29 and 193.49

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Solution

The fourth proportional to 280.97, 387.29 and 193.49 is: 266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.97 : 387.29 = 193.49 : x
  2. Step 2: Convert to fraction form
    280.97/387.29 = 193.49/x
  3. Step 3: Cross multiply
    280.97x = 387.29 × 193.49
  4. Step 4: Simplify right side
    280.97x = 74,936.74
  5. Step 5: Solve for x
    x = 74,936.74/280.97
  6. Step 6: Final answer
    x = 266.71

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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.