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Finding the Fourth Proportional to 164.46, 246.66 and 77.76

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Solution

The fourth proportional to 164.46, 246.66 and 77.76 is: 116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.46 : 246.66 = 77.76 : x
  2. Step 2: Convert to fraction form
    164.46/246.66 = 77.76/x
  3. Step 3: Cross multiply
    164.46x = 246.66 × 77.76
  4. Step 4: Simplify right side
    164.46x = 19,180.28
  5. Step 5: Solve for x
    x = 19,180.28/164.46
  6. Step 6: Final answer
    x = 116.63

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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.