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Finding the Fourth Proportional to 325.64, 486.25 and 289.16

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Solution

The fourth proportional to 325.64, 486.25 and 289.16 is: 431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.64 : 486.25 = 289.16 : x
  2. Step 2: Convert to fraction form
    325.64/486.25 = 289.16/x
  3. Step 3: Cross multiply
    325.64x = 486.25 × 289.16
  4. Step 4: Simplify right side
    325.64x = 140,604.05
  5. Step 5: Solve for x
    x = 140,604.05/325.64
  6. Step 6: Final answer
    x = 431.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.