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Finding the Fourth Proportional to 320.23, 480.21 and 190.36

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Solution

The fourth proportional to 320.23, 480.21 and 190.36 is: 285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.23 : 480.21 = 190.36 : x
  2. Step 2: Convert to fraction form
    320.23/480.21 = 190.36/x
  3. Step 3: Cross multiply
    320.23x = 480.21 × 190.36
  4. Step 4: Simplify right side
    320.23x = 91,412.78
  5. Step 5: Solve for x
    x = 91,412.78/320.23
  6. Step 6: Final answer
    x = 285.46

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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.