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Finding the Fourth Proportional to 165.41, 228.38 and 116.35

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Solution

The fourth proportional to 165.41, 228.38 and 116.35 is: 160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.41 : 228.38 = 116.35 : x
  2. Step 2: Convert to fraction form
    165.41/228.38 = 116.35/x
  3. Step 3: Cross multiply
    165.41x = 228.38 × 116.35
  4. Step 4: Simplify right side
    165.41x = 26,570.86
  5. Step 5: Solve for x
    x = 26,570.86/165.41
  6. Step 6: Final answer
    x = 160.64

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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.