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Finding the Fourth Proportional to 163.45, 225.56 and 89.77

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Solution

The fourth proportional to 163.45, 225.56 and 89.77 is: 123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.45 : 225.56 = 89.77 : x
  2. Step 2: Convert to fraction form
    163.45/225.56 = 89.77/x
  3. Step 3: Cross multiply
    163.45x = 225.56 × 89.77
  4. Step 4: Simplify right side
    163.45x = 20,247.51
  5. Step 5: Solve for x
    x = 20,247.51/163.45
  6. Step 6: Final answer
    x = 123.88

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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.