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Finding the Fourth Proportional to 443.20, 612.14 and 295.57

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Solution

The fourth proportional to 443.20, 612.14 and 295.57 is: 408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.20 : 612.14 = 295.57 : x
  2. Step 2: Convert to fraction form
    443.20/612.14 = 295.57/x
  3. Step 3: Cross multiply
    443.20x = 612.14 × 295.57
  4. Step 4: Simplify right side
    443.20x = 180,930.22
  5. Step 5: Solve for x
    x = 180,930.22/443.20
  6. Step 6: Final answer
    x = 408.24

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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.