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Finding the Fourth Proportional to 320.29, 444.17 and 300.24

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Solution

The fourth proportional to 320.29, 444.17 and 300.24 is: 416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.29 : 444.17 = 300.24 : x
  2. Step 2: Convert to fraction form
    320.29/444.17 = 300.24/x
  3. Step 3: Cross multiply
    320.29x = 444.17 × 300.24
  4. Step 4: Simplify right side
    320.29x = 133,358.35
  5. Step 5: Solve for x
    x = 133,358.35/320.29
  6. Step 6: Final answer
    x = 416.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.