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Finding the Fourth Proportional to 326.01, 488.39 and 257.43

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Solution

The fourth proportional to 326.01, 488.39 and 257.43 is: 385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.01 : 488.39 = 257.43 : x
  2. Step 2: Convert to fraction form
    326.01/488.39 = 257.43/x
  3. Step 3: Cross multiply
    326.01x = 488.39 × 257.43
  4. Step 4: Simplify right side
    326.01x = 125,724.95
  5. Step 5: Solve for x
    x = 125,724.95/326.01
  6. Step 6: Final answer
    x = 385.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.