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Finding the Fourth Proportional to 77.82, 115.82 and 77.58

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Solution

The fourth proportional to 77.82, 115.82 and 77.58 is: 115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.82 : 115.82 = 77.58 : x
  2. Step 2: Convert to fraction form
    77.82/115.82 = 77.58/x
  3. Step 3: Cross multiply
    77.82x = 115.82 × 77.58
  4. Step 4: Simplify right side
    77.82x = 8,984.93
  5. Step 5: Solve for x
    x = 8,984.93/77.82
  6. Step 6: Final answer
    x = 115.46

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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.