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Finding the Fourth Proportional to 320.33, 479.37 and 272.81

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Solution

The fourth proportional to 320.33, 479.37 and 272.81 is: 408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.33 : 479.37 = 272.81 : x
  2. Step 2: Convert to fraction form
    320.33/479.37 = 272.81/x
  3. Step 3: Cross multiply
    320.33x = 479.37 × 272.81
  4. Step 4: Simplify right side
    320.33x = 130,776.93
  5. Step 5: Solve for x
    x = 130,776.93/320.33
  6. Step 6: Final answer
    x = 408.26

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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.