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Finding the Fourth Proportional to 165.54, 228.26 and 142.20

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Solution

The fourth proportional to 165.54, 228.26 and 142.20 is: 196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.54 : 228.26 = 142.20 : x
  2. Step 2: Convert to fraction form
    165.54/228.26 = 142.20/x
  3. Step 3: Cross multiply
    165.54x = 228.26 × 142.20
  4. Step 4: Simplify right side
    165.54x = 32,458.57
  5. Step 5: Solve for x
    x = 32,458.57/165.54
  6. Step 6: Final answer
    x = 196.08

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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.