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Finding the Fourth Proportional to 439.16, 605.61 and 289.62

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Solution

The fourth proportional to 439.16, 605.61 and 289.62 is: 399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.16 : 605.61 = 289.62 : x
  2. Step 2: Convert to fraction form
    439.16/605.61 = 289.62/x
  3. Step 3: Cross multiply
    439.16x = 605.61 × 289.62
  4. Step 4: Simplify right side
    439.16x = 175,396.77
  5. Step 5: Solve for x
    x = 175,396.77/439.16
  6. Step 6: Final answer
    x = 399.40

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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.