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Finding the Fourth Proportional to 382.42, 570.71 and 341.43

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Solution

The fourth proportional to 382.42, 570.71 and 341.43 is: 509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.42 : 570.71 = 341.43 : x
  2. Step 2: Convert to fraction form
    382.42/570.71 = 341.43/x
  3. Step 3: Cross multiply
    382.42x = 570.71 × 341.43
  4. Step 4: Simplify right side
    382.42x = 194,857.52
  5. Step 5: Solve for x
    x = 194,857.52/382.42
  6. Step 6: Final answer
    x = 509.54

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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.