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Finding the Fourth Proportional to 320.97, 480.96 and 183.66

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Solution

The fourth proportional to 320.97, 480.96 and 183.66 is: 275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.97 : 480.96 = 183.66 : x
  2. Step 2: Convert to fraction form
    320.97/480.96 = 183.66/x
  3. Step 3: Cross multiply
    320.97x = 480.96 × 183.66
  4. Step 4: Simplify right side
    320.97x = 88,333.11
  5. Step 5: Solve for x
    x = 88,333.11/320.97
  6. Step 6: Final answer
    x = 275.21

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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.