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Finding the Fourth Proportional to 165.75, 228.74 and 100.31

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Solution

The fourth proportional to 165.75, 228.74 and 100.31 is: 138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.75 : 228.74 = 100.31 : x
  2. Step 2: Convert to fraction form
    165.75/228.74 = 100.31/x
  3. Step 3: Cross multiply
    165.75x = 228.74 × 100.31
  4. Step 4: Simplify right side
    165.75x = 22,943.26
  5. Step 5: Solve for x
    x = 22,943.26/165.75
  6. Step 6: Final answer
    x = 138.42

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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.