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Finding the Fourth Proportional to 443.79, 665.94 and 306.59

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Solution

The fourth proportional to 443.79, 665.94 and 306.59 is: 460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.79 : 665.94 = 306.59 : x
  2. Step 2: Convert to fraction form
    443.79/665.94 = 306.59/x
  3. Step 3: Cross multiply
    443.79x = 665.94 × 306.59
  4. Step 4: Simplify right side
    443.79x = 204,169.71
  5. Step 5: Solve for x
    x = 204,169.71/443.79
  6. Step 6: Final answer
    x = 460.06

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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.