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Finding the Fourth Proportional to 395.15, 593.03 and 178.88

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Solution

The fourth proportional to 395.15, 593.03 and 178.88 is: 268.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.15 : 593.03 = 178.88 : x
  2. Step 2: Convert to fraction form
    395.15/593.03 = 178.88/x
  3. Step 3: Cross multiply
    395.15x = 593.03 × 178.88
  4. Step 4: Simplify right side
    395.15x = 106,083.14
  5. Step 5: Solve for x
    x = 106,083.14/395.15
  6. Step 6: Final answer
    x = 268.46

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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.