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Finding the Fourth Proportional to 378, 563.94 and 341.55

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Solution

The fourth proportional to 378, 563.94 and 341.55 is: 509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378 : 563.94 = 341.55 : x
  2. Step 2: Convert to fraction form
    378/563.94 = 341.55/x
  3. Step 3: Cross multiply
    378x = 563.94 × 341.55
  4. Step 4: Simplify right side
    378x = 192,613.71
  5. Step 5: Solve for x
    x = 192,613.71/378
  6. Step 6: Final answer
    x = 509.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.