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Finding the Fourth Proportional to 325.88, 449.63 and 209.51

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Solution

The fourth proportional to 325.88, 449.63 and 209.51 is: 289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.88 : 449.63 = 209.51 : x
  2. Step 2: Convert to fraction form
    325.88/449.63 = 209.51/x
  3. Step 3: Cross multiply
    325.88x = 449.63 × 209.51
  4. Step 4: Simplify right side
    325.88x = 94,202.84
  5. Step 5: Solve for x
    x = 94,202.84/325.88
  6. Step 6: Final answer
    x = 289.07

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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.