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Finding the Fourth Proportional to 443.90, 665.84 and 119.30

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Solution

The fourth proportional to 443.90, 665.84 and 119.30 is: 178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.90 : 665.84 = 119.30 : x
  2. Step 2: Convert to fraction form
    443.90/665.84 = 119.30/x
  3. Step 3: Cross multiply
    443.90x = 665.84 × 119.30
  4. Step 4: Simplify right side
    443.90x = 79,434.71
  5. Step 5: Solve for x
    x = 79,434.71/443.90
  6. Step 6: Final answer
    x = 178.95

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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.