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Finding the Fourth Proportional to 320.62, 445.44 and 316.78

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Solution

The fourth proportional to 320.62, 445.44 and 316.78 is: 440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.62 : 445.44 = 316.78 : x
  2. Step 2: Convert to fraction form
    320.62/445.44 = 316.78/x
  3. Step 3: Cross multiply
    320.62x = 445.44 × 316.78
  4. Step 4: Simplify right side
    320.62x = 141,106.48
  5. Step 5: Solve for x
    x = 141,106.48/320.62
  6. Step 6: Final answer
    x = 440.11

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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.