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Finding the Fourth Proportional to 320.40, 480.04 and 223.76

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Solution

The fourth proportional to 320.40, 480.04 and 223.76 is: 335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.40 : 480.04 = 223.76 : x
  2. Step 2: Convert to fraction form
    320.40/480.04 = 223.76/x
  3. Step 3: Cross multiply
    320.40x = 480.04 × 223.76
  4. Step 4: Simplify right side
    320.40x = 107,413.75
  5. Step 5: Solve for x
    x = 107,413.75/320.40
  6. Step 6: Final answer
    x = 335.25

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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.