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Finding the Fourth Proportional to 135.64, 187.14 and 107.92

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Solution

The fourth proportional to 135.64, 187.14 and 107.92 is: 148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.64 : 187.14 = 107.92 : x
  2. Step 2: Convert to fraction form
    135.64/187.14 = 107.92/x
  3. Step 3: Cross multiply
    135.64x = 187.14 × 107.92
  4. Step 4: Simplify right side
    135.64x = 20,196.15
  5. Step 5: Solve for x
    x = 20,196.15/135.64
  6. Step 6: Final answer
    x = 148.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.