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Finding the Fourth Proportional to 77.43, 116.16 and 45

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Solution

The fourth proportional to 77.43, 116.16 and 45 is: 67.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.43 : 116.16 = 45 : x
  2. Step 2: Convert to fraction form
    77.43/116.16 = 45/x
  3. Step 3: Cross multiply
    77.43x = 116.16 × 45
  4. Step 4: Simplify right side
    77.43x = 5,227.20
  5. Step 5: Solve for x
    x = 5,227.20/77.43
  6. Step 6: Final answer
    x = 67.51

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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.