Home / 165.24-228.14-103.16

Finding the Fourth Proportional to 165.24, 228.14 and 103.16

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Solution

The fourth proportional to 165.24, 228.14 and 103.16 is: 142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.24 : 228.14 = 103.16 : x
  2. Step 2: Convert to fraction form
    165.24/228.14 = 103.16/x
  3. Step 3: Cross multiply
    165.24x = 228.14 × 103.16
  4. Step 4: Simplify right side
    165.24x = 23,534.92
  5. Step 5: Solve for x
    x = 23,534.92/165.24
  6. Step 6: Final answer
    x = 142.43

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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.