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Finding the Fourth Proportional to 320.34, 444.20 and 309.97

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Solution

The fourth proportional to 320.34, 444.20 and 309.97 is: 429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.34 : 444.20 = 309.97 : x
  2. Step 2: Convert to fraction form
    320.34/444.20 = 309.97/x
  3. Step 3: Cross multiply
    320.34x = 444.20 × 309.97
  4. Step 4: Simplify right side
    320.34x = 137,688.67
  5. Step 5: Solve for x
    x = 137,688.67/320.34
  6. Step 6: Final answer
    x = 429.82

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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.