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Finding the Fourth Proportional to 395.22, 592.79 and 175.85

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Solution

The fourth proportional to 395.22, 592.79 and 175.85 is: 263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.22 : 592.79 = 175.85 : x
  2. Step 2: Convert to fraction form
    395.22/592.79 = 175.85/x
  3. Step 3: Cross multiply
    395.22x = 592.79 × 175.85
  4. Step 4: Simplify right side
    395.22x = 104,238.28
  5. Step 5: Solve for x
    x = 104,238.28/395.22
  6. Step 6: Final answer
    x = 263.75

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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.