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Finding the Fourth Proportional to 77.02, 114.79 and 76.39

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Solution

The fourth proportional to 77.02, 114.79 and 76.39 is: 113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.02 : 114.79 = 76.39 : x
  2. Step 2: Convert to fraction form
    77.02/114.79 = 76.39/x
  3. Step 3: Cross multiply
    77.02x = 114.79 × 76.39
  4. Step 4: Simplify right side
    77.02x = 8,768.23
  5. Step 5: Solve for x
    x = 8,768.23/77.02
  6. Step 6: Final answer
    x = 113.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.