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Finding the Fourth Proportional to 76.37, 113.88 and 75.43

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Solution

The fourth proportional to 76.37, 113.88 and 75.43 is: 112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.37 : 113.88 = 75.43 : x
  2. Step 2: Convert to fraction form
    76.37/113.88 = 75.43/x
  3. Step 3: Cross multiply
    76.37x = 113.88 × 75.43
  4. Step 4: Simplify right side
    76.37x = 8,589.02
  5. Step 5: Solve for x
    x = 8,589.02/76.37
  6. Step 6: Final answer
    x = 112.47

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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.