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Finding the Fourth Proportional to 135.64, 203.62 and 105.16

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Solution

The fourth proportional to 135.64, 203.62 and 105.16 is: 157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.64 : 203.62 = 105.16 : x
  2. Step 2: Convert to fraction form
    135.64/203.62 = 105.16/x
  3. Step 3: Cross multiply
    135.64x = 203.62 × 105.16
  4. Step 4: Simplify right side
    135.64x = 21,412.68
  5. Step 5: Solve for x
    x = 21,412.68/135.64
  6. Step 6: Final answer
    x = 157.86

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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.