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Finding the Fourth Proportional to 320.22, 480.78 and 238.21

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Solution

The fourth proportional to 320.22, 480.78 and 238.21 is: 357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.22 : 480.78 = 238.21 : x
  2. Step 2: Convert to fraction form
    320.22/480.78 = 238.21/x
  3. Step 3: Cross multiply
    320.22x = 480.78 × 238.21
  4. Step 4: Simplify right side
    320.22x = 114,525.40
  5. Step 5: Solve for x
    x = 114,525.40/320.22
  6. Step 6: Final answer
    x = 357.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.