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Finding the Fourth Proportional to 163.09, 225.08 and 93.15

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Solution

The fourth proportional to 163.09, 225.08 and 93.15 is: 128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.09 : 225.08 = 93.15 : x
  2. Step 2: Convert to fraction form
    163.09/225.08 = 93.15/x
  3. Step 3: Cross multiply
    163.09x = 225.08 × 93.15
  4. Step 4: Simplify right side
    163.09x = 20,967.01
  5. Step 5: Solve for x
    x = 20,967.01/163.09
  6. Step 6: Final answer
    x = 128.56

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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.