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Finding the Fourth Proportional to 163.14, 225.13 and 89.46

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Solution

The fourth proportional to 163.14, 225.13 and 89.46 is: 123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.14 : 225.13 = 89.46 : x
  2. Step 2: Convert to fraction form
    163.14/225.13 = 89.46/x
  3. Step 3: Cross multiply
    163.14x = 225.13 × 89.46
  4. Step 4: Simplify right side
    163.14x = 20,140.13
  5. Step 5: Solve for x
    x = 20,140.13/163.14
  6. Step 6: Final answer
    x = 123.45

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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.