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Finding the Fourth Proportional to 320.36, 479.68 and 233.44

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Solution

The fourth proportional to 320.36, 479.68 and 233.44 is: 349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.36 : 479.68 = 233.44 : x
  2. Step 2: Convert to fraction form
    320.36/479.68 = 233.44/x
  3. Step 3: Cross multiply
    320.36x = 479.68 × 233.44
  4. Step 4: Simplify right side
    320.36x = 111,976.50
  5. Step 5: Solve for x
    x = 111,976.50/320.36
  6. Step 6: Final answer
    x = 349.53

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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.