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Finding the Fourth Proportional to 378.45, 566.19 and 320.03

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Solution

The fourth proportional to 378.45, 566.19 and 320.03 is: 478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.45 : 566.19 = 320.03 : x
  2. Step 2: Convert to fraction form
    378.45/566.19 = 320.03/x
  3. Step 3: Cross multiply
    378.45x = 566.19 × 320.03
  4. Step 4: Simplify right side
    378.45x = 181,194.95
  5. Step 5: Solve for x
    x = 181,194.95/378.45
  6. Step 6: Final answer
    x = 478.78

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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.