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Finding the Fourth Proportional to 134.74, 186.33 and 114.22

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Solution

The fourth proportional to 134.74, 186.33 and 114.22 is: 157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.74 : 186.33 = 114.22 : x
  2. Step 2: Convert to fraction form
    134.74/186.33 = 114.22/x
  3. Step 3: Cross multiply
    134.74x = 186.33 × 114.22
  4. Step 4: Simplify right side
    134.74x = 21,282.61
  5. Step 5: Solve for x
    x = 21,282.61/134.74
  6. Step 6: Final answer
    x = 157.95

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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.