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Finding the Fourth Proportional to 133.64, 201.39 and 127.46

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Solution

The fourth proportional to 133.64, 201.39 and 127.46 is: 192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.64 : 201.39 = 127.46 : x
  2. Step 2: Convert to fraction form
    133.64/201.39 = 127.46/x
  3. Step 3: Cross multiply
    133.64x = 201.39 × 127.46
  4. Step 4: Simplify right side
    133.64x = 25,669.17
  5. Step 5: Solve for x
    x = 25,669.17/133.64
  6. Step 6: Final answer
    x = 192.08

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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.