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Finding the Fourth Proportional to 394.54, 588.95 and 345.94

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Solution

The fourth proportional to 394.54, 588.95 and 345.94 is: 516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.54 : 588.95 = 345.94 : x
  2. Step 2: Convert to fraction form
    394.54/588.95 = 345.94/x
  3. Step 3: Cross multiply
    394.54x = 588.95 × 345.94
  4. Step 4: Simplify right side
    394.54x = 203,741.40
  5. Step 5: Solve for x
    x = 203,741.40/394.54
  6. Step 6: Final answer
    x = 516.41

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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.