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Finding the Fourth Proportional to 394.57, 594.15 and 292.58

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Solution

The fourth proportional to 394.57, 594.15 and 292.58 is: 440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.57 : 594.15 = 292.58 : x
  2. Step 2: Convert to fraction form
    394.57/594.15 = 292.58/x
  3. Step 3: Cross multiply
    394.57x = 594.15 × 292.58
  4. Step 4: Simplify right side
    394.57x = 173,831.97
  5. Step 5: Solve for x
    x = 173,831.97/394.57
  6. Step 6: Final answer
    x = 440.56

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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.