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Finding the Fourth Proportional to 132.80, 192.40 and 132.80

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Solution

The fourth proportional to 132.80, 192.40 and 132.80 is: 192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.80 : 192.40 = 132.80 : x
  2. Step 2: Convert to fraction form
    132.80/192.40 = 132.80/x
  3. Step 3: Cross multiply
    132.80x = 192.40 × 132.80
  4. Step 4: Simplify right side
    132.80x = 25,550.72
  5. Step 5: Solve for x
    x = 25,550.72/132.80
  6. Step 6: Final answer
    x = 192.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.