Home / 165.16-227.26-160.15

Finding the Fourth Proportional to 165.16, 227.26 and 160.15

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Solution

The fourth proportional to 165.16, 227.26 and 160.15 is: 220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.16 : 227.26 = 160.15 : x
  2. Step 2: Convert to fraction form
    165.16/227.26 = 160.15/x
  3. Step 3: Cross multiply
    165.16x = 227.26 × 160.15
  4. Step 4: Simplify right side
    165.16x = 36,395.69
  5. Step 5: Solve for x
    x = 36,395.69/165.16
  6. Step 6: Final answer
    x = 220.37

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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.