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Finding the Fourth Proportional to 134.85, 201.96 and 117.03

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Solution

The fourth proportional to 134.85, 201.96 and 117.03 is: 175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.85 : 201.96 = 117.03 : x
  2. Step 2: Convert to fraction form
    134.85/201.96 = 117.03/x
  3. Step 3: Cross multiply
    134.85x = 201.96 × 117.03
  4. Step 4: Simplify right side
    134.85x = 23,635.38
  5. Step 5: Solve for x
    x = 23,635.38/134.85
  6. Step 6: Final answer
    x = 175.27

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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.