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Finding the Fourth Proportional to 394.32, 593.77 and 292.33

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Solution

The fourth proportional to 394.32, 593.77 and 292.33 is: 440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.32 : 593.77 = 292.33 : x
  2. Step 2: Convert to fraction form
    394.32/593.77 = 292.33/x
  3. Step 3: Cross multiply
    394.32x = 593.77 × 292.33
  4. Step 4: Simplify right side
    394.32x = 173,574.57
  5. Step 5: Solve for x
    x = 173,574.57/394.32
  6. Step 6: Final answer
    x = 440.19

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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.