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Finding the Fourth Proportional to 355.14, 489.69 and 289.44

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Solution

The fourth proportional to 355.14, 489.69 and 289.44 is: 399.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.14 : 489.69 = 289.44 : x
  2. Step 2: Convert to fraction form
    355.14/489.69 = 289.44/x
  3. Step 3: Cross multiply
    355.14x = 489.69 × 289.44
  4. Step 4: Simplify right side
    355.14x = 141,735.87
  5. Step 5: Solve for x
    x = 141,735.87/355.14
  6. Step 6: Final answer
    x = 399.10

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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.