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Finding the Fourth Proportional to 280.96, 388.02 and 250.42

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Solution

The fourth proportional to 280.96, 388.02 and 250.42 is: 345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.96 : 388.02 = 250.42 : x
  2. Step 2: Convert to fraction form
    280.96/388.02 = 250.42/x
  3. Step 3: Cross multiply
    280.96x = 388.02 × 250.42
  4. Step 4: Simplify right side
    280.96x = 97,167.97
  5. Step 5: Solve for x
    x = 97,167.97/280.96
  6. Step 6: Final answer
    x = 345.84

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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.