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Finding the Fourth Proportional to 130.26, 179.88 and 129.36

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Solution

The fourth proportional to 130.26, 179.88 and 129.36 is: 178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.26 : 179.88 = 129.36 : x
  2. Step 2: Convert to fraction form
    130.26/179.88 = 129.36/x
  3. Step 3: Cross multiply
    130.26x = 179.88 × 129.36
  4. Step 4: Simplify right side
    130.26x = 23,269.28
  5. Step 5: Solve for x
    x = 23,269.28/130.26
  6. Step 6: Final answer
    x = 178.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.