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Finding the Fourth Proportional to 164.59, 246.86 and 77.90

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Solution

The fourth proportional to 164.59, 246.86 and 77.90 is: 116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.59 : 246.86 = 77.90 : x
  2. Step 2: Convert to fraction form
    164.59/246.86 = 77.90/x
  3. Step 3: Cross multiply
    164.59x = 246.86 × 77.90
  4. Step 4: Simplify right side
    164.59x = 19,230.62
  5. Step 5: Solve for x
    x = 19,230.62/164.59
  6. Step 6: Final answer
    x = 116.84

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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.