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Finding the Fourth Proportional to 378.04, 521.22 and 322.96

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Solution

The fourth proportional to 378.04, 521.22 and 322.96 is: 445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.04 : 521.22 = 322.96 : x
  2. Step 2: Convert to fraction form
    378.04/521.22 = 322.96/x
  3. Step 3: Cross multiply
    378.04x = 521.22 × 322.96
  4. Step 4: Simplify right side
    378.04x = 168,333.21
  5. Step 5: Solve for x
    x = 168,333.21/378.04
  6. Step 6: Final answer
    x = 445.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.