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Finding the Fourth Proportional to 163.71, 245.61 and 76.98

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Solution

The fourth proportional to 163.71, 245.61 and 76.98 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.71 : 245.61 = 76.98 : x
  2. Step 2: Convert to fraction form
    163.71/245.61 = 76.98/x
  3. Step 3: Cross multiply
    163.71x = 245.61 × 76.98
  4. Step 4: Simplify right side
    163.71x = 18,907.06
  5. Step 5: Solve for x
    x = 18,907.06/163.71
  6. Step 6: Final answer
    x = 115.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.