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Finding the Fourth Proportional to 165.16, 228 and 113.68

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Solution

The fourth proportional to 165.16, 228 and 113.68 is: 156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.16 : 228 = 113.68 : x
  2. Step 2: Convert to fraction form
    165.16/228 = 113.68/x
  3. Step 3: Cross multiply
    165.16x = 228 × 113.68
  4. Step 4: Simplify right side
    165.16x = 25,919.04
  5. Step 5: Solve for x
    x = 25,919.04/165.16
  6. Step 6: Final answer
    x = 156.93

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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.