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Finding the Fourth Proportional to 165.73, 228.74 and 103.60

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Solution

The fourth proportional to 165.73, 228.74 and 103.60 is: 142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.73 : 228.74 = 103.60 : x
  2. Step 2: Convert to fraction form
    165.73/228.74 = 103.60/x
  3. Step 3: Cross multiply
    165.73x = 228.74 × 103.60
  4. Step 4: Simplify right side
    165.73x = 23,697.46
  5. Step 5: Solve for x
    x = 23,697.46/165.73
  6. Step 6: Final answer
    x = 142.99

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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.