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Finding the Fourth Proportional to 164.38, 246.56 and 42.64

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Solution

The fourth proportional to 164.38, 246.56 and 42.64 is: 63.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.38 : 246.56 = 42.64 : x
  2. Step 2: Convert to fraction form
    164.38/246.56 = 42.64/x
  3. Step 3: Cross multiply
    164.38x = 246.56 × 42.64
  4. Step 4: Simplify right side
    164.38x = 10,513.73
  5. Step 5: Solve for x
    x = 10,513.73/164.38
  6. Step 6: Final answer
    x = 63.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.