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Finding the Fourth Proportional to 217.45, 300.05 and 134.60

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Solution

The fourth proportional to 217.45, 300.05 and 134.60 is: 185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.45 : 300.05 = 134.60 : x
  2. Step 2: Convert to fraction form
    217.45/300.05 = 134.60/x
  3. Step 3: Cross multiply
    217.45x = 300.05 × 134.60
  4. Step 4: Simplify right side
    217.45x = 40,385.82
  5. Step 5: Solve for x
    x = 40,385.82/217.45
  6. Step 6: Final answer
    x = 185.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.