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Finding the Fourth Proportional to 443.52, 611.94 and 295.92

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Solution

The fourth proportional to 443.52, 611.94 and 295.92 is: 408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.52 : 611.94 = 295.92 : x
  2. Step 2: Convert to fraction form
    443.52/611.94 = 295.92/x
  3. Step 3: Cross multiply
    443.52x = 611.94 × 295.92
  4. Step 4: Simplify right side
    443.52x = 181,085.28
  5. Step 5: Solve for x
    x = 181,085.28/443.52
  6. Step 6: Final answer
    x = 408.29

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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.