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Finding the Fourth Proportional to 132.72, 181.86 and 131.46

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Solution

The fourth proportional to 132.72, 181.86 and 131.46 is: 180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.72 : 181.86 = 131.46 : x
  2. Step 2: Convert to fraction form
    132.72/181.86 = 131.46/x
  3. Step 3: Cross multiply
    132.72x = 181.86 × 131.46
  4. Step 4: Simplify right side
    132.72x = 23,907.32
  5. Step 5: Solve for x
    x = 23,907.32/132.72
  6. Step 6: Final answer
    x = 180.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.