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Finding the Fourth Proportional to 320.49, 480.65 and 104.09

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Solution

The fourth proportional to 320.49, 480.65 and 104.09 is: 156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.49 : 480.65 = 104.09 : x
  2. Step 2: Convert to fraction form
    320.49/480.65 = 104.09/x
  3. Step 3: Cross multiply
    320.49x = 480.65 × 104.09
  4. Step 4: Simplify right side
    320.49x = 50,027.93
  5. Step 5: Solve for x
    x = 50,027.93/320.49
  6. Step 6: Final answer
    x = 156.10

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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.