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Finding the Fourth Proportional to 381.42, 569.22 and 340.43

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Solution

The fourth proportional to 381.42, 569.22 and 340.43 is: 508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.42 : 569.22 = 340.43 : x
  2. Step 2: Convert to fraction form
    381.42/569.22 = 340.43/x
  3. Step 3: Cross multiply
    381.42x = 569.22 × 340.43
  4. Step 4: Simplify right side
    381.42x = 193,776.72
  5. Step 5: Solve for x
    x = 193,776.72/381.42
  6. Step 6: Final answer
    x = 508.04

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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.