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Finding the Fourth Proportional to 443.74, 611.94 and 320.20

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Solution

The fourth proportional to 443.74, 611.94 and 320.20 is: 441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.74 : 611.94 = 320.20 : x
  2. Step 2: Convert to fraction form
    443.74/611.94 = 320.20/x
  3. Step 3: Cross multiply
    443.74x = 611.94 × 320.20
  4. Step 4: Simplify right side
    443.74x = 195,943.19
  5. Step 5: Solve for x
    x = 195,943.19/443.74
  6. Step 6: Final answer
    x = 441.57

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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.