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Finding the Fourth Proportional to 381.59, 574.63 and 274.13

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Solution

The fourth proportional to 381.59, 574.63 and 274.13 is: 412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.59 : 574.63 = 274.13 : x
  2. Step 2: Convert to fraction form
    381.59/574.63 = 274.13/x
  3. Step 3: Cross multiply
    381.59x = 574.63 × 274.13
  4. Step 4: Simplify right side
    381.59x = 157,521.95
  5. Step 5: Solve for x
    x = 157,521.95/381.59
  6. Step 6: Final answer
    x = 412.80

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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.