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Finding the Fourth Proportional to 394.35, 588.68 and 345.75

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Solution

The fourth proportional to 394.35, 588.68 and 345.75 is: 516.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.35 : 588.68 = 345.75 : x
  2. Step 2: Convert to fraction form
    394.35/588.68 = 345.75/x
  3. Step 3: Cross multiply
    394.35x = 588.68 × 345.75
  4. Step 4: Simplify right side
    394.35x = 203,534.38
  5. Step 5: Solve for x
    x = 203,534.38/394.35
  6. Step 6: Final answer
    x = 516.13

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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.