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Finding the Fourth Proportional to 77.39, 116.67 and 65.45

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Solution

The fourth proportional to 77.39, 116.67 and 65.45 is: 98.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.39 : 116.67 = 65.45 : x
  2. Step 2: Convert to fraction form
    77.39/116.67 = 65.45/x
  3. Step 3: Cross multiply
    77.39x = 116.67 × 65.45
  4. Step 4: Simplify right side
    77.39x = 7,635.72
  5. Step 5: Solve for x
    x = 7,635.72/77.39
  6. Step 6: Final answer
    x = 98.67

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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.