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Finding the Fourth Proportional to 217.63, 300.34 and 130.31

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Solution

The fourth proportional to 217.63, 300.34 and 130.31 is: 179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.63 : 300.34 = 130.31 : x
  2. Step 2: Convert to fraction form
    217.63/300.34 = 130.31/x
  3. Step 3: Cross multiply
    217.63x = 300.34 × 130.31
  4. Step 4: Simplify right side
    217.63x = 39,135.91
  5. Step 5: Solve for x
    x = 39,135.91/217.63
  6. Step 6: Final answer
    x = 179.82

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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.