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Finding the Fourth Proportional to 217.50, 300.06 and 130.14

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Solution

The fourth proportional to 217.50, 300.06 and 130.14 is: 179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.50 : 300.06 = 130.14 : x
  2. Step 2: Convert to fraction form
    217.50/300.06 = 130.14/x
  3. Step 3: Cross multiply
    217.50x = 300.06 × 130.14
  4. Step 4: Simplify right side
    217.50x = 39,049.81
  5. Step 5: Solve for x
    x = 39,049.81/217.50
  6. Step 6: Final answer
    x = 179.54

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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.