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Finding the Fourth Proportional to 394.96, 592.64 and 178.49

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Solution

The fourth proportional to 394.96, 592.64 and 178.49 is: 267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.96 : 592.64 = 178.49 : x
  2. Step 2: Convert to fraction form
    394.96/592.64 = 178.49/x
  3. Step 3: Cross multiply
    394.96x = 592.64 × 178.49
  4. Step 4: Simplify right side
    394.96x = 105,780.31
  5. Step 5: Solve for x
    x = 105,780.31/394.96
  6. Step 6: Final answer
    x = 267.83

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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.