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Finding the Fourth Proportional to 447.65, 670.26 and 230.80

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Solution

The fourth proportional to 447.65, 670.26 and 230.80 is: 345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.65 : 670.26 = 230.80 : x
  2. Step 2: Convert to fraction form
    447.65/670.26 = 230.80/x
  3. Step 3: Cross multiply
    447.65x = 670.26 × 230.80
  4. Step 4: Simplify right side
    447.65x = 154,696.01
  5. Step 5: Solve for x
    x = 154,696.01/447.65
  6. Step 6: Final answer
    x = 345.57

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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.