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Finding the Fourth Proportional to 165.60, 228.46 and 116.53

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Solution

The fourth proportional to 165.60, 228.46 and 116.53 is: 160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.60 : 228.46 = 116.53 : x
  2. Step 2: Convert to fraction form
    165.60/228.46 = 116.53/x
  3. Step 3: Cross multiply
    165.60x = 228.46 × 116.53
  4. Step 4: Simplify right side
    165.60x = 26,622.44
  5. Step 5: Solve for x
    x = 26,622.44/165.60
  6. Step 6: Final answer
    x = 160.76

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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.