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Finding the Fourth Proportional to 321.05, 446.12 and 317.70

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Solution

The fourth proportional to 321.05, 446.12 and 317.70 is: 441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.05 : 446.12 = 317.70 : x
  2. Step 2: Convert to fraction form
    321.05/446.12 = 317.70/x
  3. Step 3: Cross multiply
    321.05x = 446.12 × 317.70
  4. Step 4: Simplify right side
    321.05x = 141,730.74
  5. Step 5: Solve for x
    x = 141,730.74/321.05
  6. Step 6: Final answer
    x = 441.47

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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.