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Finding the Fourth Proportional to 135.93, 186.96 and 117.55

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Solution

The fourth proportional to 135.93, 186.96 and 117.55 is: 161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.93 : 186.96 = 117.55 : x
  2. Step 2: Convert to fraction form
    135.93/186.96 = 117.55/x
  3. Step 3: Cross multiply
    135.93x = 186.96 × 117.55
  4. Step 4: Simplify right side
    135.93x = 21,977.16
  5. Step 5: Solve for x
    x = 21,977.16/135.93
  6. Step 6: Final answer
    x = 161.68

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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.