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Finding the Fourth Proportional to 320.13, 443.37 and 296.43

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Solution

The fourth proportional to 320.13, 443.37 and 296.43 is: 410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.13 : 443.37 = 296.43 : x
  2. Step 2: Convert to fraction form
    320.13/443.37 = 296.43/x
  3. Step 3: Cross multiply
    320.13x = 443.37 × 296.43
  4. Step 4: Simplify right side
    320.13x = 131,428.17
  5. Step 5: Solve for x
    x = 131,428.17/320.13
  6. Step 6: Final answer
    x = 410.55

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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.