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Finding the Fourth Proportional to 381.42, 574.52 and 371.70

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Solution

The fourth proportional to 381.42, 574.52 and 371.70 is: 559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.42 : 574.52 = 371.70 : x
  2. Step 2: Convert to fraction form
    381.42/574.52 = 371.70/x
  3. Step 3: Cross multiply
    381.42x = 574.52 × 371.70
  4. Step 4: Simplify right side
    381.42x = 213,547.23
  5. Step 5: Solve for x
    x = 213,547.23/381.42
  6. Step 6: Final answer
    x = 559.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.