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Finding the Fourth Proportional to 135.46, 201.73 and 127.02

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Solution

The fourth proportional to 135.46, 201.73 and 127.02 is: 189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.46 : 201.73 = 127.02 : x
  2. Step 2: Convert to fraction form
    135.46/201.73 = 127.02/x
  3. Step 3: Cross multiply
    135.46x = 201.73 × 127.02
  4. Step 4: Simplify right side
    135.46x = 25,623.43
  5. Step 5: Solve for x
    x = 25,623.43/135.46
  6. Step 6: Final answer
    x = 189.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.