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Finding the Fourth Proportional to 77.92, 117.38 and 64.48

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Solution

The fourth proportional to 77.92, 117.38 and 64.48 is: 97.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.92 : 117.38 = 64.48 : x
  2. Step 2: Convert to fraction form
    77.92/117.38 = 64.48/x
  3. Step 3: Cross multiply
    77.92x = 117.38 × 64.48
  4. Step 4: Simplify right side
    77.92x = 7,568.66
  5. Step 5: Solve for x
    x = 7,568.66/77.92
  6. Step 6: Final answer
    x = 97.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.