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Finding the Fourth Proportional to 134.37, 201.74 and 102.69

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Solution

The fourth proportional to 134.37, 201.74 and 102.69 is: 154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.37 : 201.74 = 102.69 : x
  2. Step 2: Convert to fraction form
    134.37/201.74 = 102.69/x
  3. Step 3: Cross multiply
    134.37x = 201.74 × 102.69
  4. Step 4: Simplify right side
    134.37x = 20,716.17
  5. Step 5: Solve for x
    x = 20,716.17/134.37
  6. Step 6: Final answer
    x = 154.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.