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Finding the Fourth Proportional to 395.27, 593.17 and 178.85

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Solution

The fourth proportional to 395.27, 593.17 and 178.85 is: 268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.27 : 593.17 = 178.85 : x
  2. Step 2: Convert to fraction form
    395.27/593.17 = 178.85/x
  3. Step 3: Cross multiply
    395.27x = 593.17 × 178.85
  4. Step 4: Simplify right side
    395.27x = 106,089.49
  5. Step 5: Solve for x
    x = 106,089.49/395.27
  6. Step 6: Final answer
    x = 268.40

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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.