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Finding the Fourth Proportional to 326.00, 490.94 and 293.87

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Solution

The fourth proportional to 326.00, 490.94 and 293.87 is: 442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.00 : 490.94 = 293.87 : x
  2. Step 2: Convert to fraction form
    326.00/490.94 = 293.87/x
  3. Step 3: Cross multiply
    326.00x = 490.94 × 293.87
  4. Step 4: Simplify right side
    326.00x = 144,273.40
  5. Step 5: Solve for x
    x = 144,273.40/326.00
  6. Step 6: Final answer
    x = 442.55

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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.