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Finding the Fourth Proportional to 325.93, 449.91 and 209.50

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Solution

The fourth proportional to 325.93, 449.91 and 209.50 is: 289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.93 : 449.91 = 209.50 : x
  2. Step 2: Convert to fraction form
    325.93/449.91 = 209.50/x
  3. Step 3: Cross multiply
    325.93x = 449.91 × 209.50
  4. Step 4: Simplify right side
    325.93x = 94,256.15
  5. Step 5: Solve for x
    x = 94,256.15/325.93
  6. Step 6: Final answer
    x = 289.19

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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.