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Finding the Fourth Proportional to 132.53, 182.49 and 114.09

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Solution

The fourth proportional to 132.53, 182.49 and 114.09 is: 157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.53 : 182.49 = 114.09 : x
  2. Step 2: Convert to fraction form
    132.53/182.49 = 114.09/x
  3. Step 3: Cross multiply
    132.53x = 182.49 × 114.09
  4. Step 4: Simplify right side
    132.53x = 20,820.28
  5. Step 5: Solve for x
    x = 20,820.28/132.53
  6. Step 6: Final answer
    x = 157.10

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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.