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Finding the Fourth Proportional to 165.91, 229.05 and 113.53

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Solution

The fourth proportional to 165.91, 229.05 and 113.53 is: 156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.91 : 229.05 = 113.53 : x
  2. Step 2: Convert to fraction form
    165.91/229.05 = 113.53/x
  3. Step 3: Cross multiply
    165.91x = 229.05 × 113.53
  4. Step 4: Simplify right side
    165.91x = 26,004.05
  5. Step 5: Solve for x
    x = 26,004.05/165.91
  6. Step 6: Final answer
    x = 156.74

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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.