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Finding the Fourth Proportional to 217.28, 299.91 and 130.01

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Solution

The fourth proportional to 217.28, 299.91 and 130.01 is: 179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.28 : 299.91 = 130.01 : x
  2. Step 2: Convert to fraction form
    217.28/299.91 = 130.01/x
  3. Step 3: Cross multiply
    217.28x = 299.91 × 130.01
  4. Step 4: Simplify right side
    217.28x = 38,991.30
  5. Step 5: Solve for x
    x = 38,991.30/217.28
  6. Step 6: Final answer
    x = 179.45

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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.