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Finding the Fourth Proportional to 112.24, 155.10 and 92.80

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Solution

The fourth proportional to 112.24, 155.10 and 92.80 is: 128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.24 : 155.10 = 92.80 : x
  2. Step 2: Convert to fraction form
    112.24/155.10 = 92.80/x
  3. Step 3: Cross multiply
    112.24x = 155.10 × 92.80
  4. Step 4: Simplify right side
    112.24x = 14,393.28
  5. Step 5: Solve for x
    x = 14,393.28/112.24
  6. Step 6: Final answer
    x = 128.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.