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Finding the Fourth Proportional to 163.14, 225.64 and 134.70

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Solution

The fourth proportional to 163.14, 225.64 and 134.70 is: 186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.14 : 225.64 = 134.70 : x
  2. Step 2: Convert to fraction form
    163.14/225.64 = 134.70/x
  3. Step 3: Cross multiply
    163.14x = 225.64 × 134.70
  4. Step 4: Simplify right side
    163.14x = 30,393.71
  5. Step 5: Solve for x
    x = 30,393.71/163.14
  6. Step 6: Final answer
    x = 186.30

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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.