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Finding the Fourth Proportional to 375.22, 562.20 and 179.92

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Solution

The fourth proportional to 375.22, 562.20 and 179.92 is: 269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.22 : 562.20 = 179.92 : x
  2. Step 2: Convert to fraction form
    375.22/562.20 = 179.92/x
  3. Step 3: Cross multiply
    375.22x = 562.20 × 179.92
  4. Step 4: Simplify right side
    375.22x = 101,151.02
  5. Step 5: Solve for x
    x = 101,151.02/375.22
  6. Step 6: Final answer
    x = 269.58

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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.