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Finding the Fourth Proportional to 443.90, 612.23 and 296.28

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Solution

The fourth proportional to 443.90, 612.23 and 296.28 is: 408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.90 : 612.23 = 296.28 : x
  2. Step 2: Convert to fraction form
    443.90/612.23 = 296.28/x
  3. Step 3: Cross multiply
    443.90x = 612.23 × 296.28
  4. Step 4: Simplify right side
    443.90x = 181,391.50
  5. Step 5: Solve for x
    x = 181,391.50/443.90
  6. Step 6: Final answer
    x = 408.63

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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.