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Finding the Fourth Proportional to 282.60, 387.49 and 254.86

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Solution

The fourth proportional to 282.60, 387.49 and 254.86 is: 349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.60 : 387.49 = 254.86 : x
  2. Step 2: Convert to fraction form
    282.60/387.49 = 254.86/x
  3. Step 3: Cross multiply
    282.60x = 387.49 × 254.86
  4. Step 4: Simplify right side
    282.60x = 98,755.70
  5. Step 5: Solve for x
    x = 98,755.70/282.60
  6. Step 6: Final answer
    x = 349.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.