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Finding the Fourth Proportional to 439.77, 659.67 and 192.94

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Solution

The fourth proportional to 439.77, 659.67 and 192.94 is: 289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.77 : 659.67 = 192.94 : x
  2. Step 2: Convert to fraction form
    439.77/659.67 = 192.94/x
  3. Step 3: Cross multiply
    439.77x = 659.67 × 192.94
  4. Step 4: Simplify right side
    439.77x = 127,276.73
  5. Step 5: Solve for x
    x = 127,276.73/439.77
  6. Step 6: Final answer
    x = 289.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.