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Finding the Fourth Proportional to 378.07, 520.64 and 322.79

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Solution

The fourth proportional to 378.07, 520.64 and 322.79 is: 444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.07 : 520.64 = 322.79 : x
  2. Step 2: Convert to fraction form
    378.07/520.64 = 322.79/x
  3. Step 3: Cross multiply
    378.07x = 520.64 × 322.79
  4. Step 4: Simplify right side
    378.07x = 168,057.39
  5. Step 5: Solve for x
    x = 168,057.39/378.07
  6. Step 6: Final answer
    x = 444.51

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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.