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Finding the Fourth Proportional to 132.86, 182.21 and 127.80

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Solution

The fourth proportional to 132.86, 182.21 and 127.80 is: 175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.86 : 182.21 = 127.80 : x
  2. Step 2: Convert to fraction form
    132.86/182.21 = 127.80/x
  3. Step 3: Cross multiply
    132.86x = 182.21 × 127.80
  4. Step 4: Simplify right side
    132.86x = 23,285.80
  5. Step 5: Solve for x
    x = 23,285.80/132.86
  6. Step 6: Final answer
    x = 175.26

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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.