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Finding the Fourth Proportional to 165, 248.04 and 117.24

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Solution

The fourth proportional to 165, 248.04 and 117.24 is: 176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 248.04 = 117.24 : x
  2. Step 2: Convert to fraction form
    165/248.04 = 117.24/x
  3. Step 3: Cross multiply
    165x = 248.04 × 117.24
  4. Step 4: Simplify right side
    165x = 29,080.21
  5. Step 5: Solve for x
    x = 29,080.21/165
  6. Step 6: Final answer
    x = 176.24

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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.