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Finding the Fourth Proportional to 111.29, 153.50 and 92.85

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Solution

The fourth proportional to 111.29, 153.50 and 92.85 is: 128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.29 : 153.50 = 92.85 : x
  2. Step 2: Convert to fraction form
    111.29/153.50 = 92.85/x
  3. Step 3: Cross multiply
    111.29x = 153.50 × 92.85
  4. Step 4: Simplify right side
    111.29x = 14,252.01
  5. Step 5: Solve for x
    x = 14,252.01/111.29
  6. Step 6: Final answer
    x = 128.07

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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.