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Finding the Fourth Proportional to 394.43, 588.76 and 365.87

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Solution

The fourth proportional to 394.43, 588.76 and 365.87 is: 546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.43 : 588.76 = 365.87 : x
  2. Step 2: Convert to fraction form
    394.43/588.76 = 365.87/x
  3. Step 3: Cross multiply
    394.43x = 588.76 × 365.87
  4. Step 4: Simplify right side
    394.43x = 215,409.62
  5. Step 5: Solve for x
    x = 215,409.62/394.43
  6. Step 6: Final answer
    x = 546.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.