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Finding the Fourth Proportional to 163.64, 225.60 and 138.98

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Solution

The fourth proportional to 163.64, 225.60 and 138.98 is: 191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.64 : 225.60 = 138.98 : x
  2. Step 2: Convert to fraction form
    163.64/225.60 = 138.98/x
  3. Step 3: Cross multiply
    163.64x = 225.60 × 138.98
  4. Step 4: Simplify right side
    163.64x = 31,353.89
  5. Step 5: Solve for x
    x = 31,353.89/163.64
  6. Step 6: Final answer
    x = 191.60

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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.