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Finding the Fourth Proportional to 165.60, 246.65 and 164.86

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Solution

The fourth proportional to 165.60, 246.65 and 164.86 is: 245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.60 : 246.65 = 164.86 : x
  2. Step 2: Convert to fraction form
    165.60/246.65 = 164.86/x
  3. Step 3: Cross multiply
    165.60x = 246.65 × 164.86
  4. Step 4: Simplify right side
    165.60x = 40,661.28
  5. Step 5: Solve for x
    x = 40,661.28/165.60
  6. Step 6: Final answer
    x = 245.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.