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Finding the Fourth Proportional to 320.52, 480.42 and 248.16

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Solution

The fourth proportional to 320.52, 480.42 and 248.16 is: 371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.52 : 480.42 = 248.16 : x
  2. Step 2: Convert to fraction form
    320.52/480.42 = 248.16/x
  3. Step 3: Cross multiply
    320.52x = 480.42 × 248.16
  4. Step 4: Simplify right side
    320.52x = 119,221.03
  5. Step 5: Solve for x
    x = 119,221.03/320.52
  6. Step 6: Final answer
    x = 371.96

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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.