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Finding the Fourth Proportional to 381.53, 574.35 and 347.51

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Solution

The fourth proportional to 381.53, 574.35 and 347.51 is: 523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.53 : 574.35 = 347.51 : x
  2. Step 2: Convert to fraction form
    381.53/574.35 = 347.51/x
  3. Step 3: Cross multiply
    381.53x = 574.35 × 347.51
  4. Step 4: Simplify right side
    381.53x = 199,589.50
  5. Step 5: Solve for x
    x = 199,589.50/381.53
  6. Step 6: Final answer
    x = 523.14

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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.