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Finding the Fourth Proportional to 320.36, 444.13 and 309.10

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Solution

The fourth proportional to 320.36, 444.13 and 309.10 is: 428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.36 : 444.13 = 309.10 : x
  2. Step 2: Convert to fraction form
    320.36/444.13 = 309.10/x
  3. Step 3: Cross multiply
    320.36x = 444.13 × 309.10
  4. Step 4: Simplify right side
    320.36x = 137,279.30
  5. Step 5: Solve for x
    x = 137,279.30/320.36
  6. Step 6: Final answer
    x = 428.52

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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.