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Finding the Fourth Proportional to 165.29, 228.15 and 137.97

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Solution

The fourth proportional to 165.29, 228.15 and 137.97 is: 190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.29 : 228.15 = 137.97 : x
  2. Step 2: Convert to fraction form
    165.29/228.15 = 137.97/x
  3. Step 3: Cross multiply
    165.29x = 228.15 × 137.97
  4. Step 4: Simplify right side
    165.29x = 31,477.86
  5. Step 5: Solve for x
    x = 31,477.86/165.29
  6. Step 6: Final answer
    x = 190.45

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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.