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Finding the Fourth Proportional to 394.88, 592.39 and 221.79

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Solution

The fourth proportional to 394.88, 592.39 and 221.79 is: 332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.88 : 592.39 = 221.79 : x
  2. Step 2: Convert to fraction form
    394.88/592.39 = 221.79/x
  3. Step 3: Cross multiply
    394.88x = 592.39 × 221.79
  4. Step 4: Simplify right side
    394.88x = 131,386.18
  5. Step 5: Solve for x
    x = 131,386.18/394.88
  6. Step 6: Final answer
    x = 332.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.