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Finding the Fourth Proportional to 378.81, 522.63 and 323.01

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Solution

The fourth proportional to 378.81, 522.63 and 323.01 is: 445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.81 : 522.63 = 323.01 : x
  2. Step 2: Convert to fraction form
    378.81/522.63 = 323.01/x
  3. Step 3: Cross multiply
    378.81x = 522.63 × 323.01
  4. Step 4: Simplify right side
    378.81x = 168,814.72
  5. Step 5: Solve for x
    x = 168,814.72/378.81
  6. Step 6: Final answer
    x = 445.64

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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.