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Finding the Fourth Proportional to 320.85, 480.94 and 147.31

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Solution

The fourth proportional to 320.85, 480.94 and 147.31 is: 220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.85 : 480.94 = 147.31 : x
  2. Step 2: Convert to fraction form
    320.85/480.94 = 147.31/x
  3. Step 3: Cross multiply
    320.85x = 480.94 × 147.31
  4. Step 4: Simplify right side
    320.85x = 70,845.70
  5. Step 5: Solve for x
    x = 70,845.70/320.85
  6. Step 6: Final answer
    x = 220.81

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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.