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Finding the Fourth Proportional to 381.30, 573.15 and 374.10

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Solution

The fourth proportional to 381.30, 573.15 and 374.10 is: 562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.30 : 573.15 = 374.10 : x
  2. Step 2: Convert to fraction form
    381.30/573.15 = 374.10/x
  3. Step 3: Cross multiply
    381.30x = 573.15 × 374.10
  4. Step 4: Simplify right side
    381.30x = 214,415.42
  5. Step 5: Solve for x
    x = 214,415.42/381.30
  6. Step 6: Final answer
    x = 562.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.