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Finding the Fourth Proportional to 135.93, 186.98 and 113.79

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Solution

The fourth proportional to 135.93, 186.98 and 113.79 is: 156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.93 : 186.98 = 113.79 : x
  2. Step 2: Convert to fraction form
    135.93/186.98 = 113.79/x
  3. Step 3: Cross multiply
    135.93x = 186.98 × 113.79
  4. Step 4: Simplify right side
    135.93x = 21,276.45
  5. Step 5: Solve for x
    x = 21,276.45/135.93
  6. Step 6: Final answer
    x = 156.53

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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.