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Finding the Fourth Proportional to 320.90, 480.47 and 269.39

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Solution

The fourth proportional to 320.90, 480.47 and 269.39 is: 403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.90 : 480.47 = 269.39 : x
  2. Step 2: Convert to fraction form
    320.90/480.47 = 269.39/x
  3. Step 3: Cross multiply
    320.90x = 480.47 × 269.39
  4. Step 4: Simplify right side
    320.90x = 129,433.67
  5. Step 5: Solve for x
    x = 129,433.67/320.90
  6. Step 6: Final answer
    x = 403.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.