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Finding the Fourth Proportional to 280.98, 387.81 and 203.94

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Solution

The fourth proportional to 280.98, 387.81 and 203.94 is: 281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.98 : 387.81 = 203.94 : x
  2. Step 2: Convert to fraction form
    280.98/387.81 = 203.94/x
  3. Step 3: Cross multiply
    280.98x = 387.81 × 203.94
  4. Step 4: Simplify right side
    280.98x = 79,089.97
  5. Step 5: Solve for x
    x = 79,089.97/280.98
  6. Step 6: Final answer
    x = 281.48

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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.