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Finding the Fourth Proportional to 132.72, 199.18 and 87.05

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Solution

The fourth proportional to 132.72, 199.18 and 87.05 is: 130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.72 : 199.18 = 87.05 : x
  2. Step 2: Convert to fraction form
    132.72/199.18 = 87.05/x
  3. Step 3: Cross multiply
    132.72x = 199.18 × 87.05
  4. Step 4: Simplify right side
    132.72x = 17,338.90
  5. Step 5: Solve for x
    x = 17,338.90/132.72
  6. Step 6: Final answer
    x = 130.64

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Why These Related Problems?

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