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Finding the Fourth Proportional to 132.36, 198.60 and 71.47

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Solution

The fourth proportional to 132.36, 198.60 and 71.47 is: 107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.36 : 198.60 = 71.47 : x
  2. Step 2: Convert to fraction form
    132.36/198.60 = 71.47/x
  3. Step 3: Cross multiply
    132.36x = 198.60 × 71.47
  4. Step 4: Simplify right side
    132.36x = 14,193.94
  5. Step 5: Solve for x
    x = 14,193.94/132.36
  6. Step 6: Final answer
    x = 107.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.