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Finding the Fourth Proportional to 165.99, 228.92 and 100.48

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Solution

The fourth proportional to 165.99, 228.92 and 100.48 is: 138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.99 : 228.92 = 100.48 : x
  2. Step 2: Convert to fraction form
    165.99/228.92 = 100.48/x
  3. Step 3: Cross multiply
    165.99x = 228.92 × 100.48
  4. Step 4: Simplify right side
    165.99x = 23,001.88
  5. Step 5: Solve for x
    x = 23,001.88/165.99
  6. Step 6: Final answer
    x = 138.57

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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.