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Finding the Fourth Proportional to 380.13, 523.81 and 291.61

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Solution

The fourth proportional to 380.13, 523.81 and 291.61 is: 401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.13 : 523.81 = 291.61 : x
  2. Step 2: Convert to fraction form
    380.13/523.81 = 291.61/x
  3. Step 3: Cross multiply
    380.13x = 523.81 × 291.61
  4. Step 4: Simplify right side
    380.13x = 152,744.67
  5. Step 5: Solve for x
    x = 152,744.67/380.13
  6. Step 6: Final answer
    x = 401.83

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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.