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Finding the Fourth Proportional to 217.90, 300.73 and 130.62

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Solution

The fourth proportional to 217.90, 300.73 and 130.62 is: 180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.90 : 300.73 = 130.62 : x
  2. Step 2: Convert to fraction form
    217.90/300.73 = 130.62/x
  3. Step 3: Cross multiply
    217.90x = 300.73 × 130.62
  4. Step 4: Simplify right side
    217.90x = 39,282.10
  5. Step 5: Solve for x
    x = 39,282.10/217.90
  6. Step 6: Final answer
    x = 180.28

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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.