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Finding the Fourth Proportional to 293.94, 442.53 and 254.25

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Solution

The fourth proportional to 293.94, 442.53 and 254.25 is: 382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.94 : 442.53 = 254.25 : x
  2. Step 2: Convert to fraction form
    293.94/442.53 = 254.25/x
  3. Step 3: Cross multiply
    293.94x = 442.53 × 254.25
  4. Step 4: Simplify right side
    293.94x = 112,513.25
  5. Step 5: Solve for x
    x = 112,513.25/293.94
  6. Step 6: Final answer
    x = 382.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.