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Finding the Fourth Proportional to 96.34, 132.81 and 78.77

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Solution

The fourth proportional to 96.34, 132.81 and 78.77 is: 108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.34 : 132.81 = 78.77 : x
  2. Step 2: Convert to fraction form
    96.34/132.81 = 78.77/x
  3. Step 3: Cross multiply
    96.34x = 132.81 × 78.77
  4. Step 4: Simplify right side
    96.34x = 10,462.14
  5. Step 5: Solve for x
    x = 10,462.14/96.34
  6. Step 6: Final answer
    x = 108.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.