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Finding the Fourth Proportional to 217.44, 300.10 and 130.16

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Solution

The fourth proportional to 217.44, 300.10 and 130.16 is: 179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.44 : 300.10 = 130.16 : x
  2. Step 2: Convert to fraction form
    217.44/300.10 = 130.16/x
  3. Step 3: Cross multiply
    217.44x = 300.10 × 130.16
  4. Step 4: Simplify right side
    217.44x = 39,061.02
  5. Step 5: Solve for x
    x = 39,061.02/217.44
  6. Step 6: Final answer
    x = 179.64

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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.