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Finding the Fourth Proportional to 77.96, 116.47 and 65.99

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Solution

The fourth proportional to 77.96, 116.47 and 65.99 is: 98.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.96 : 116.47 = 65.99 : x
  2. Step 2: Convert to fraction form
    77.96/116.47 = 65.99/x
  3. Step 3: Cross multiply
    77.96x = 116.47 × 65.99
  4. Step 4: Simplify right side
    77.96x = 7,685.86
  5. Step 5: Solve for x
    x = 7,685.86/77.96
  6. Step 6: Final answer
    x = 98.59

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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.