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Finding the Fourth Proportional to 92.25, 138.13 and 77.77

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Solution

The fourth proportional to 92.25, 138.13 and 77.77 is: 116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.25 : 138.13 = 77.77 : x
  2. Step 2: Convert to fraction form
    92.25/138.13 = 77.77/x
  3. Step 3: Cross multiply
    92.25x = 138.13 × 77.77
  4. Step 4: Simplify right side
    92.25x = 10,742.37
  5. Step 5: Solve for x
    x = 10,742.37/92.25
  6. Step 6: Final answer
    x = 116.45

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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.