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Finding the Fourth Proportional to 92.46, 137.91 and 79.50

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Solution

The fourth proportional to 92.46, 137.91 and 79.50 is: 118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.46 : 137.91 = 79.50 : x
  2. Step 2: Convert to fraction form
    92.46/137.91 = 79.50/x
  3. Step 3: Cross multiply
    92.46x = 137.91 × 79.50
  4. Step 4: Simplify right side
    92.46x = 10,963.85
  5. Step 5: Solve for x
    x = 10,963.85/92.46
  6. Step 6: Final answer
    x = 118.58

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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.