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Finding the Fourth Proportional to 320.48, 480.50 and 137.78

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Solution

The fourth proportional to 320.48, 480.50 and 137.78 is: 206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.48 : 480.50 = 137.78 : x
  2. Step 2: Convert to fraction form
    320.48/480.50 = 137.78/x
  3. Step 3: Cross multiply
    320.48x = 480.50 × 137.78
  4. Step 4: Simplify right side
    320.48x = 66,202.60
  5. Step 5: Solve for x
    x = 66,202.60/320.48
  6. Step 6: Final answer
    x = 206.57

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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.