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Finding the Fourth Proportional to 164.24, 246.40 and 78.80

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Solution

The fourth proportional to 164.24, 246.40 and 78.80 is: 118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.24 : 246.40 = 78.80 : x
  2. Step 2: Convert to fraction form
    164.24/246.40 = 78.80/x
  3. Step 3: Cross multiply
    164.24x = 246.40 × 78.80
  4. Step 4: Simplify right side
    164.24x = 19,416.32
  5. Step 5: Solve for x
    x = 19,416.32/164.24
  6. Step 6: Final answer
    x = 118.22

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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.