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Finding the Fourth Proportional to 326.88, 491.44 and 259.24

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Solution

The fourth proportional to 326.88, 491.44 and 259.24 is: 389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.88 : 491.44 = 259.24 : x
  2. Step 2: Convert to fraction form
    326.88/491.44 = 259.24/x
  3. Step 3: Cross multiply
    326.88x = 491.44 × 259.24
  4. Step 4: Simplify right side
    326.88x = 127,400.91
  5. Step 5: Solve for x
    x = 127,400.91/326.88
  6. Step 6: Final answer
    x = 389.75

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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.