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Finding the Fourth Proportional to 135.13, 201.75 and 114.64

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Solution

The fourth proportional to 135.13, 201.75 and 114.64 is: 171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.13 : 201.75 = 114.64 : x
  2. Step 2: Convert to fraction form
    135.13/201.75 = 114.64/x
  3. Step 3: Cross multiply
    135.13x = 201.75 × 114.64
  4. Step 4: Simplify right side
    135.13x = 23,128.62
  5. Step 5: Solve for x
    x = 23,128.62/135.13
  6. Step 6: Final answer
    x = 171.16

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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.