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Finding the Fourth Proportional to 77.72, 116.49 and 43.48

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Solution

The fourth proportional to 77.72, 116.49 and 43.48 is: 65.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.72 : 116.49 = 43.48 : x
  2. Step 2: Convert to fraction form
    77.72/116.49 = 43.48/x
  3. Step 3: Cross multiply
    77.72x = 116.49 × 43.48
  4. Step 4: Simplify right side
    77.72x = 5,064.99
  5. Step 5: Solve for x
    x = 5,064.99/77.72
  6. Step 6: Final answer
    x = 65.17

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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.