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Finding the Fourth Proportional to 327.99, 489.59 and 289.07

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Solution

The fourth proportional to 327.99, 489.59 and 289.07 is: 431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.99 : 489.59 = 289.07 : x
  2. Step 2: Convert to fraction form
    327.99/489.59 = 289.07/x
  3. Step 3: Cross multiply
    327.99x = 489.59 × 289.07
  4. Step 4: Simplify right side
    327.99x = 141,526.20
  5. Step 5: Solve for x
    x = 141,526.20/327.99
  6. Step 6: Final answer
    x = 431.49

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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.