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Finding the Fourth Proportional to 113.37, 155.78 and 92.60

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Solution

The fourth proportional to 113.37, 155.78 and 92.60 is: 127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.37 : 155.78 = 92.60 : x
  2. Step 2: Convert to fraction form
    113.37/155.78 = 92.60/x
  3. Step 3: Cross multiply
    113.37x = 155.78 × 92.60
  4. Step 4: Simplify right side
    113.37x = 14,423.99
  5. Step 5: Solve for x
    x = 14,423.99/113.37
  6. Step 6: Final answer
    x = 127.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.