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Finding the Fourth Proportional to 293.14, 403.61 and 248.78

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Solution

The fourth proportional to 293.14, 403.61 and 248.78 is: 342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.14 : 403.61 = 248.78 : x
  2. Step 2: Convert to fraction form
    293.14/403.61 = 248.78/x
  3. Step 3: Cross multiply
    293.14x = 403.61 × 248.78
  4. Step 4: Simplify right side
    293.14x = 100,409.86
  5. Step 5: Solve for x
    x = 100,409.86/293.14
  6. Step 6: Final answer
    x = 342.54

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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.