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Finding the Fourth Proportional to 378.87, 523.04 and 262.23

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Solution

The fourth proportional to 378.87, 523.04 and 262.23 is: 362.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.87 : 523.04 = 262.23 : x
  2. Step 2: Convert to fraction form
    378.87/523.04 = 262.23/x
  3. Step 3: Cross multiply
    378.87x = 523.04 × 262.23
  4. Step 4: Simplify right side
    378.87x = 137,155.47
  5. Step 5: Solve for x
    x = 137,155.47/378.87
  6. Step 6: Final answer
    x = 362.01

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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.