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Finding the Fourth Proportional to 394.92, 594.69 and 292.94

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Solution

The fourth proportional to 394.92, 594.69 and 292.94 is: 441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.92 : 594.69 = 292.94 : x
  2. Step 2: Convert to fraction form
    394.92/594.69 = 292.94/x
  3. Step 3: Cross multiply
    394.92x = 594.69 × 292.94
  4. Step 4: Simplify right side
    394.92x = 174,205.52
  5. Step 5: Solve for x
    x = 174,205.52/394.92
  6. Step 6: Final answer
    x = 441.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.