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Finding the Fourth Proportional to 320.96, 443.13 and 299.18

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Solution

The fourth proportional to 320.96, 443.13 and 299.18 is: 413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.96 : 443.13 = 299.18 : x
  2. Step 2: Convert to fraction form
    320.96/443.13 = 299.18/x
  3. Step 3: Cross multiply
    320.96x = 443.13 × 299.18
  4. Step 4: Simplify right side
    320.96x = 132,575.63
  5. Step 5: Solve for x
    x = 132,575.63/320.96
  6. Step 6: Final answer
    x = 413.06

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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.