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Finding the Fourth Proportional to 165.48, 228.38 and 95.56

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Solution

The fourth proportional to 165.48, 228.38 and 95.56 is: 131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.48 : 228.38 = 95.56 : x
  2. Step 2: Convert to fraction form
    165.48/228.38 = 95.56/x
  3. Step 3: Cross multiply
    165.48x = 228.38 × 95.56
  4. Step 4: Simplify right side
    165.48x = 21,823.03
  5. Step 5: Solve for x
    x = 21,823.03/165.48
  6. Step 6: Final answer
    x = 131.87

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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.