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Finding the Fourth Proportional to 163.30, 225.32 and 97.78

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Solution

The fourth proportional to 163.30, 225.32 and 97.78 is: 134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.30 : 225.32 = 97.78 : x
  2. Step 2: Convert to fraction form
    163.30/225.32 = 97.78/x
  3. Step 3: Cross multiply
    163.30x = 225.32 × 97.78
  4. Step 4: Simplify right side
    163.30x = 22,031.79
  5. Step 5: Solve for x
    x = 22,031.79/163.30
  6. Step 6: Final answer
    x = 134.92

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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.