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Finding the Fourth Proportional to 446.99, 670.53 and 122.38

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Solution

The fourth proportional to 446.99, 670.53 and 122.38 is: 183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.99 : 670.53 = 122.38 : x
  2. Step 2: Convert to fraction form
    446.99/670.53 = 122.38/x
  3. Step 3: Cross multiply
    446.99x = 670.53 × 122.38
  4. Step 4: Simplify right side
    446.99x = 82,059.46
  5. Step 5: Solve for x
    x = 82,059.46/446.99
  6. Step 6: Final answer
    x = 183.58

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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.