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Finding the Fourth Proportional to 164.30, 246.46 and 42.58

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Solution

The fourth proportional to 164.30, 246.46 and 42.58 is: 63.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.30 : 246.46 = 42.58 : x
  2. Step 2: Convert to fraction form
    164.30/246.46 = 42.58/x
  3. Step 3: Cross multiply
    164.30x = 246.46 × 42.58
  4. Step 4: Simplify right side
    164.30x = 10,493.54
  5. Step 5: Solve for x
    x = 10,493.54/164.30
  6. Step 6: Final answer
    x = 63.87

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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.