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Finding the Fourth Proportional to 165.64, 228.29 and 143.47

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Solution

The fourth proportional to 165.64, 228.29 and 143.47 is: 197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.64 : 228.29 = 143.47 : x
  2. Step 2: Convert to fraction form
    165.64/228.29 = 143.47/x
  3. Step 3: Cross multiply
    165.64x = 228.29 × 143.47
  4. Step 4: Simplify right side
    165.64x = 32,751.62
  5. Step 5: Solve for x
    x = 32,751.62/165.64
  6. Step 6: Final answer
    x = 197.73

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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.