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Finding the Fourth Proportional to 163.31, 245.09 and 77.87

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Solution

The fourth proportional to 163.31, 245.09 and 77.87 is: 116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.31 : 245.09 = 77.87 : x
  2. Step 2: Convert to fraction form
    163.31/245.09 = 77.87/x
  3. Step 3: Cross multiply
    163.31x = 245.09 × 77.87
  4. Step 4: Simplify right side
    163.31x = 19,085.16
  5. Step 5: Solve for x
    x = 19,085.16/163.31
  6. Step 6: Final answer
    x = 116.86

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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.