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Finding the Fourth Proportional to 204.15, 304.84 and 179.26

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Solution

The fourth proportional to 204.15, 304.84 and 179.26 is: 267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.15 : 304.84 = 179.26 : x
  2. Step 2: Convert to fraction form
    204.15/304.84 = 179.26/x
  3. Step 3: Cross multiply
    204.15x = 304.84 × 179.26
  4. Step 4: Simplify right side
    204.15x = 54,645.62
  5. Step 5: Solve for x
    x = 54,645.62/204.15
  6. Step 6: Final answer
    x = 267.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.