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Finding the Fourth Proportional to 320.90, 480.77 and 229.13

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Solution

The fourth proportional to 320.90, 480.77 and 229.13 is: 343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.90 : 480.77 = 229.13 : x
  2. Step 2: Convert to fraction form
    320.90/480.77 = 229.13/x
  3. Step 3: Cross multiply
    320.90x = 480.77 × 229.13
  4. Step 4: Simplify right side
    320.90x = 110,157.94
  5. Step 5: Solve for x
    x = 110,157.94/320.90
  6. Step 6: Final answer
    x = 343.28

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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.