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Finding the Fourth Proportional to 132.64, 200.20 and 132.64

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Solution

The fourth proportional to 132.64, 200.20 and 132.64 is: 200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.64 : 200.20 = 132.64 : x
  2. Step 2: Convert to fraction form
    132.64/200.20 = 132.64/x
  3. Step 3: Cross multiply
    132.64x = 200.20 × 132.64
  4. Step 4: Simplify right side
    132.64x = 26,553.53
  5. Step 5: Solve for x
    x = 26,553.53/132.64
  6. Step 6: Final answer
    x = 200.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.