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Finding the Fourth Proportional to 320.24, 480.56 and 137.68

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Solution

The fourth proportional to 320.24, 480.56 and 137.68 is: 206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.24 : 480.56 = 137.68 : x
  2. Step 2: Convert to fraction form
    320.24/480.56 = 137.68/x
  3. Step 3: Cross multiply
    320.24x = 480.56 × 137.68
  4. Step 4: Simplify right side
    320.24x = 66,163.50
  5. Step 5: Solve for x
    x = 66,163.50/320.24
  6. Step 6: Final answer
    x = 206.61

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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.