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Finding the Fourth Proportional to 76.30, 113.91 and 62.73

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Solution

The fourth proportional to 76.30, 113.91 and 62.73 is: 93.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.30 : 113.91 = 62.73 : x
  2. Step 2: Convert to fraction form
    76.30/113.91 = 62.73/x
  3. Step 3: Cross multiply
    76.30x = 113.91 × 62.73
  4. Step 4: Simplify right side
    76.30x = 7,145.57
  5. Step 5: Solve for x
    x = 7,145.57/76.30
  6. Step 6: Final answer
    x = 93.65

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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.