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Finding the Fourth Proportional to 280.94, 387.11 and 277.16

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Solution

The fourth proportional to 280.94, 387.11 and 277.16 is: 381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.94 : 387.11 = 277.16 : x
  2. Step 2: Convert to fraction form
    280.94/387.11 = 277.16/x
  3. Step 3: Cross multiply
    280.94x = 387.11 × 277.16
  4. Step 4: Simplify right side
    280.94x = 107,290.16
  5. Step 5: Solve for x
    x = 107,290.16/280.94
  6. Step 6: Final answer
    x = 381.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.