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Finding the Fourth Proportional to 135.17, 201.42 and 130.82

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Solution

The fourth proportional to 135.17, 201.42 and 130.82 is: 194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.17 : 201.42 = 130.82 : x
  2. Step 2: Convert to fraction form
    135.17/201.42 = 130.82/x
  3. Step 3: Cross multiply
    135.17x = 201.42 × 130.82
  4. Step 4: Simplify right side
    135.17x = 26,348.76
  5. Step 5: Solve for x
    x = 26,348.76/135.17
  6. Step 6: Final answer
    x = 194.94

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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.