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Finding the Fourth Proportional to 135.82, 186.97 and 117.30

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Solution

The fourth proportional to 135.82, 186.97 and 117.30 is: 161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.82 : 186.97 = 117.30 : x
  2. Step 2: Convert to fraction form
    135.82/186.97 = 117.30/x
  3. Step 3: Cross multiply
    135.82x = 186.97 × 117.30
  4. Step 4: Simplify right side
    135.82x = 21,931.58
  5. Step 5: Solve for x
    x = 21,931.58/135.82
  6. Step 6: Final answer
    x = 161.48

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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.