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Finding the Fourth Proportional to 77.76, 116.83 and 45.28

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Solution

The fourth proportional to 77.76, 116.83 and 45.28 is: 68.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.76 : 116.83 = 45.28 : x
  2. Step 2: Convert to fraction form
    77.76/116.83 = 45.28/x
  3. Step 3: Cross multiply
    77.76x = 116.83 × 45.28
  4. Step 4: Simplify right side
    77.76x = 5,289.84
  5. Step 5: Solve for x
    x = 5,289.84/77.76
  6. Step 6: Final answer
    x = 68.03

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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.