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Finding the Fourth Proportional to 165.24, 246.51 and 163.08

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Solution

The fourth proportional to 165.24, 246.51 and 163.08 is: 243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.24 : 246.51 = 163.08 : x
  2. Step 2: Convert to fraction form
    165.24/246.51 = 163.08/x
  3. Step 3: Cross multiply
    165.24x = 246.51 × 163.08
  4. Step 4: Simplify right side
    165.24x = 40,200.85
  5. Step 5: Solve for x
    x = 40,200.85/165.24
  6. Step 6: Final answer
    x = 243.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.