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Finding the Fourth Proportional to 135.69, 186.87 and 102.90

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Solution

The fourth proportional to 135.69, 186.87 and 102.90 is: 141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.69 : 186.87 = 102.90 : x
  2. Step 2: Convert to fraction form
    135.69/186.87 = 102.90/x
  3. Step 3: Cross multiply
    135.69x = 186.87 × 102.90
  4. Step 4: Simplify right side
    135.69x = 19,228.92
  5. Step 5: Solve for x
    x = 19,228.92/135.69
  6. Step 6: Final answer
    x = 141.71

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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.