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Finding the Fourth Proportional to 164.80, 246.79 and 99.83

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Solution

The fourth proportional to 164.80, 246.79 and 99.83 is: 149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.80 : 246.79 = 99.83 : x
  2. Step 2: Convert to fraction form
    164.80/246.79 = 99.83/x
  3. Step 3: Cross multiply
    164.80x = 246.79 × 99.83
  4. Step 4: Simplify right side
    164.80x = 24,635.31
  5. Step 5: Solve for x
    x = 24,635.31/164.80
  6. Step 6: Final answer
    x = 149.49

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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.