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Finding the Fourth Proportional to 380.13, 523.29 and 281.70

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Solution

The fourth proportional to 380.13, 523.29 and 281.70 is: 387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.13 : 523.29 = 281.70 : x
  2. Step 2: Convert to fraction form
    380.13/523.29 = 281.70/x
  3. Step 3: Cross multiply
    380.13x = 523.29 × 281.70
  4. Step 4: Simplify right side
    380.13x = 147,410.79
  5. Step 5: Solve for x
    x = 147,410.79/380.13
  6. Step 6: Final answer
    x = 387.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.