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Finding the Fourth Proportional to 130.08, 179.09 and 97.27

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Solution

The fourth proportional to 130.08, 179.09 and 97.27 is: 133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.08 : 179.09 = 97.27 : x
  2. Step 2: Convert to fraction form
    130.08/179.09 = 97.27/x
  3. Step 3: Cross multiply
    130.08x = 179.09 × 97.27
  4. Step 4: Simplify right side
    130.08x = 17,419.60
  5. Step 5: Solve for x
    x = 17,419.60/130.08
  6. Step 6: Final answer
    x = 133.92

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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.