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Finding the Fourth Proportional to 320.45, 481.10 and 306.50

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Solution

The fourth proportional to 320.45, 481.10 and 306.50 is: 460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.45 : 481.10 = 306.50 : x
  2. Step 2: Convert to fraction form
    320.45/481.10 = 306.50/x
  3. Step 3: Cross multiply
    320.45x = 481.10 × 306.50
  4. Step 4: Simplify right side
    320.45x = 147,453.21
  5. Step 5: Solve for x
    x = 147,453.21/320.45
  6. Step 6: Final answer
    x = 460.15

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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.