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Finding the Fourth Proportional to 165.75, 228.75 and 115.91

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Solution

The fourth proportional to 165.75, 228.75 and 115.91 is: 159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.75 : 228.75 = 115.91 : x
  2. Step 2: Convert to fraction form
    165.75/228.75 = 115.91/x
  3. Step 3: Cross multiply
    165.75x = 228.75 × 115.91
  4. Step 4: Simplify right side
    165.75x = 26,513.37
  5. Step 5: Solve for x
    x = 26,513.37/165.75
  6. Step 6: Final answer
    x = 159.96

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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.