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Finding the Fourth Proportional to 135.59, 202.65 and 109.64

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Solution

The fourth proportional to 135.59, 202.65 and 109.64 is: 163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.59 : 202.65 = 109.64 : x
  2. Step 2: Convert to fraction form
    135.59/202.65 = 109.64/x
  3. Step 3: Cross multiply
    135.59x = 202.65 × 109.64
  4. Step 4: Simplify right side
    135.59x = 22,218.00
  5. Step 5: Solve for x
    x = 22,218.00/135.59
  6. Step 6: Final answer
    x = 163.86

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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.